4056913996800 has 924 divisors, whose sum is σ = 15677851408200. Its totient is φ = 925229383680.

The previous prime is 4056913996783. The next prime is 4056913996823. The reversal of 4056913996800 is 86993196504.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 9035442976 + ... + 9035443424.

Almost surely, 2^{4056913996800} is an apocalyptic number.

4056913996800 is a gapful number since it is divisible by the number (40) 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 4056913996800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7838925704100).

4056913996800 is an abundant number, since it is smaller than the sum of its proper divisors (11620937411400).

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

4056913996800 is an frugal number, since it uses more digits than its factorization.

4056913996800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 12597120, while the sum is 60.

The spelling of 4056913996800 in words is "four trillion, fifty-six billion, nine hundred thirteen million, nine hundred ninety-six thousand, eight hundred".