4066807935456 has 240 divisors, whose sum is σ = 13776631013376. Its totient is φ = 1152795297024.

The previous prime is 4066807935401. The next prime is 4066807935473. The reversal of 4066807935456 is 6545397086604.

4066807935456 is a `hidden beast` number, since 4 + 0 + 6 + 6 + 80 + 7 + 9 + 3 + 545 + 6 = 666.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 4066807935393 and 4066807935402.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1421845 + ... + 3186731.

Almost surely, 2^{4066807935456} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4066807935456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6888315506688).

4066807935456 is an abundant number, since it is smaller than the sum of its proper divisors (9709823077920).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4066807935456 is a wasteful number, since it uses less digits than its factorization.

4066807935456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1765043 (or 1765026 counting only the distinct ones).

The product of its (nonzero) digits is 130636800, while the sum is 63.

The spelling of 4066807935456 in words is "four trillion, sixty-six billion, eight hundred seven million, nine hundred thirty-five thousand, four hundred fifty-six".