I'm pretty well versed on this subject as I suffer from a disease which directly effects my ability to move, and which is directly effected by my movement. You're talking with a guy who literally tore both arms out of their sockets by using a computer. I'm sure that you'll never be in that situation, but as the guy at the wrong end of the scale, I've had to learn a few things along the way so that I can remain functional.
There is no short answer to this. Too low a sensitivity is not good for you (as mentioned above), but nor is too high. There are so many other factors at play, such as your playstyle, diet, exercise, and I cannot sufficiently stress the vast importance of posture. Even with my illness, I can easily play for hours on end without any stress...but ONLY if I do it right. I run a fairly low sens (about 42cm/360), to balance the stress between my wrists and my shoulders, because if it's too high then your wrist is doing all the work and that's bad, but if it's too low, then your shoulders are, and that's bad too. But if I get lazy and slump in my chair, it causes my shoulders to lean forward, which means that my upper arm is elevated higher, and I will get muscle spasms in the back of my shoulder, and it's GG for me. If I get lazy and lean back too far, the reverse happens, the front of my shoulder goes mental, and again, GG.
Your body is well designed for lots of movement, but most of it is only designed to move in a certain direction. A good example a physiotherapist once gave me, is in the hands. Take your outstretched hand, now move your index finger to touch the palm of your hand. Note how far it moves. Now, take your outstretched hand, and move your finger side-to-side to touch the fingers next to it. Note how far it moves now. Much less, right? That's because your fingers aren't meant to move far like that. If you're making your body move as it is designed to do, it'll do it very well, and a lot....but if you try to twist it in some direction it doesn't like to go, it's gonna hurt.
Like I say, you aren't likely to suffer from these kind of mistakes, to the degree which I do, but they still have the same negative effect, and as any sports instructor will tell you, if it's hurting, YOU'RE DOING IT WRONG SO STOP.
It may just be that your general fitness is not so great, and that your muscles just aren't up to the task, but even if this is the case, punishing small areas of your body is not the right way to build muscle strength. Muscles need to balance each other out, you can do dumbbell curls all day and get mad biceps, but if you don't work your chest and triceps and back and neck and hips and legs, somewhere along that chain of muscles you're going to develop problems.
If you like, you can describe in more detail the arm pain your'e experiencing (what kind of pain, where exactly (be super-specific!), what movement makes it hurt more,etc) and I'll be able to take a pretty good guess as to why, and suggest some things you can do to mitigate it. If I were a gambling man, I'd take a bet with pretty good odds, that it's not your sensitivity, it's that you sit badly.