As mentioned above, the max tire pressure printed on the sidewall is cold pressure. And it's mostly for stuff like driver/passenger comfort, proper tire wear, etc.
If you keep the tires overinflated for a long enough time, you'll eventually get increased treadwear in the center of the tire. Otherwise, you should be fine.
On a side note, the tires on my Prius have a max rating of 44 psi. But stock pressures are 35 psi front / 32 psi rear. I noticed the tire wear was uneven, more wear on the outside edges. So I increased the pressure to 40 psi front / 37 psi rear. People lost their minds! I was getting youtube comments saying the tires are gonna pop, I'm gonna have an accident because the handling is ruined, etc. People are funny.
