56417101430400 has 1536 divisors, whose sum is σ = 212437831680000. Its totient is φ = 14618032128000.

The previous prime is 56417101430359. The next prime is 56417101430401. The reversal of 56417101430400 is 403410171465.

56417101430400 is a `hidden beast` number, since 5 + 6 + 41 + 71 + 0 + 143 + 0 + 400 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (56417101430401) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 209729001466 + ... + 209729001734.

It is an arithmetic number, because the mean of its divisors is an integer number (138305880000).

Almost surely, 2^{56417101430400} is an apocalyptic number.

56417101430400 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 56417101430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106218915840000).

56417101430400 is an abundant number, since it is smaller than the sum of its proper divisors (156020730249600).

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

56417101430400 is a wasteful number, since it uses less digits than its factorization.

56417101430400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 743 (or 720 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 56417101430400 in words is "fifty-six trillion, four hundred seventeen billion, one hundred one million, four hundred thirty thousand, four hundred".