Ugh, the internet sure makes conversations hard...
So lets sum this up:
I have AVAILABLE(But not sitting on my desk) the splendid Arc Audio Signature Edition 4000SE. Upon pulling a random production unit off the line and testing it this amp is proven to put out 4366 REAL watts, at 12.0 volts while drawing 443 amps of current. At this power rating the THD is still a totally inaudible .09%. Who knows what kind of power these would make if they rated like most of the other companies, at 13.5 or more volts and up to 10% THD, likely closer to 5000 watts. This amp isn't built for the SPL crowd, or really any particular crowd - It's built as a statment of what is possible in the upper realm of high-end car audio amplifiers.

If you would like to purchase one to break your woofers I'll be glad to sell it to you. Be advised, it may void your warranty since it is so far above the rated RMS power.