Is there a tool that is able to brute force the private key, given a full Bitcoin address? I know it's nearly impossible, but want to try just for fun.
That's the problem, people can't even imagine how unlikely it is to find the correct private key without knowing anything about it except the public key(no shortcuts in the algorithm etc.). It's safe to replace the word "unlikely" by "impossible" in this case without altering the sense.
Thinking about low probabilities:
Take your pen and let it fall of your desk. While falling the pen will convert its potential energy to kinetic energy. The air in your room will absorb some of that energy and the rest will be absorbed by your floor when the pen impacts. Now in theory it's possible that the molecules surrounding your pen while it lays on the ground are all moving up and therefore pushing the pen up. But considering the amount of molecules it's very very unlikely one would even say impossible to happen(actually it's so unlikely that the 2nd law of thermodynamics even forbids it). It's much more likely that some molecules from above push it down and some from underneath push it up, same goes for right and left -> it won't move.
Now what would you tell someone who asks to borrow your video camera to film the pen 24/7 to see when it will fly back on the desk because it's theoretically possible?
Don't try to brute force it. Just wait until some bird's shit on your car takes the form of the private key.
ha! dude thats a real awesome way of putting things lol id be buying that bird no doubt