4056568713792 has 420 divisors, whose sum is σ = 14029279292160. Its totient is φ = 1158994738944.

The previous prime is 4056568713689. The next prime is 4056568713793. The reversal of 4056568713792 is 2973178656504.

4056568713792 is a `hidden beast` number, since 4 + 0 + 56 + 568 + 7 + 13 + 7 + 9 + 2 = 666.

It is a super-2 number, since 2×4056568713792² (a number of 26 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (4056568713793) by changing a digit.

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 59 ways as a sum of consecutive naturals, for example, 87104209 + ... + 87150767.

It is a 1-persistent number, because it is pandigital, but 2⋅4056568713792 = 8113137427584 is not.

Almost surely, 2^{4056568713792} is an apocalyptic number.

4056568713792 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4056568713792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7014639646080).

4056568713792 is an abundant number, since it is smaller than the sum of its proper divisors (9972710578368).

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

4056568713792 is an frugal number, since it uses more digits than its factorization.

4056568713792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46618 (or 46571 counting only the distinct ones).

The product of its (nonzero) digits is 76204800, while the sum is 63.

The spelling of 4056568713792 in words is "four trillion, fifty-six billion, five hundred sixty-eight million, seven hundred thirteen thousand, seven hundred ninety-two".