Happened frequently on my Original Droid. Only way I had to fix it was pull the battery...can't do that on the Maxx though, right? Try holding the power button till it goes off and then turn it back on.

 

If you have the MAXX and you took your battery out, I am pretty sure you just voided your warranty. How did you take the battery out? You can simulate a battery pull by holding volume down and the power button for about 10 or 15 seconds(whenever the phone shuts off) then power back up as normal.

 

I'm afraid your phone is messed up if that's the case. Back to the factory for repairs.

 

I had problems unlocking the phone when it was hooked up to the charger. After unplugging it, it seemed to gain back the control.

 

I found that when my phone gets overheated the touch screen stops working. cooling it with a fan usually brought it back to functionality.

 

OK...just had the same issue. I called Verizon and asked what to do since you cannot pull the battery. You hold down the Power button AND the Volume Down button at the same time and this restarts the phone (had to hold it down for 5-10 sec). Worked like a charm! All better (I hope)

 

Same problem for me and this (power button + down volume) worked great.