56404720189440 has 2304 divisors, whose sum is σ = 244260133135200. Its totient is φ = 12435452854272.

The previous prime is 56404720189439. The next prime is 56404720189453. The reversal of 56404720189440 is 4498102740465.

56404720189440 is a `hidden beast` number, since 5 + 6 + 40 + 472 + 0 + 1 + 8 + 94 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a super-3 number, since 3×56404720189440³ (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 56574443022 + ... + 56574444018.

Almost surely, 2^{56404720189440} 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 56404720189440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122130066567600).

56404720189440 is an abundant number, since it is smaller than the sum of its proper divisors (187855412945760).

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

56404720189440 is an frugal number, since it uses more digits than its factorization.

56404720189440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1090 (or 1043 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 56404720189440 in words is "fifty-six trillion, four hundred four billion, seven hundred twenty million, one hundred eighty-nine thousand, four hundred forty".