56414845440 has 640 divisors, whose sum is σ = 217538576640. Its totient is φ = 13801881600.

The previous prime is 56414845433. The next prime is 56414845451. The reversal of 56414845440 is 4454841465.

56414845440 is a `hidden beast` number, since 5 + 64 + 1 + 48 + 4 + 544 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 48176055 + ... + 48177225.

It is an arithmetic number, because the mean of its divisors is an integer number (339904026).

Almost surely, 2^56414845440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56414845440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108769288320).

56414845440 is an abundant number, since it is smaller than the sum of its proper divisors (161123731200).

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

56414845440 is a wasteful number, since it uses less digits than its factorization.

56414845440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1261 (or 1239 counting only the distinct ones).

The product of its (nonzero) digits is 1228800, while the sum is 45.

The spelling of 56414845440 in words is "fifty-six billion, four hundred fourteen million, eight hundred forty-five thousand, four hundred forty".