56044416400 has 240 divisors, whose sum is σ = 162099942400. Its totient is φ = 18593971200.

The previous prime is 56044416397. The next prime is 56044416473. The reversal of 56044416400 is 461444065.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4246612 + ... + 4259788.

Almost surely, 2^56044416400 is an apocalyptic number.

56044416400 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 56044416400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81049971200).

56044416400 is an abundant number, since it is smaller than the sum of its proper divisors (106055526000).

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

56044416400 is a wasteful number, since it uses less digits than its factorization.

56044416400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13247 (or 13222 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 34.

The spelling of 56044416400 in words is "fifty-six billion, forty-four million, four hundred sixteen thousand, four hundred".