56144390400 has 648 divisors, whose sum is σ = 242928451584. Its totient is φ = 12076646400.

The previous prime is 56144390363. The next prime is 56144390411. The reversal of 56144390400 is 409344165.

56144390400 is a `hidden beast` number, since 5 + 614 + 4 + 39 + 0 + 4 + 0 + 0 = 666.

It is a super-2 number, since 2×56144390400² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6850305 + ... + 6858495.

Almost surely, 2^56144390400 is an apocalyptic number.

56144390400 is a gapful number since it is divisible by the number (50) 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 56144390400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121464225792).

56144390400 is an abundant number, since it is smaller than the sum of its proper divisors (186784061184).

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

56144390400 is a wasteful number, since it uses less digits than its factorization.

56144390400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8247 (or 8225 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 56144390400 in words is "fifty-six billion, one hundred forty-four million, three hundred ninety thousand, four hundred".