56444341617400 has 192 divisors, whose sum is σ = 143654601722400. Its totient is φ = 20454819840000.

The previous prime is 56444341617397. The next prime is 56444341617407. The reversal of 56444341617400 is 471614344465.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56444341617407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4338862096 + ... + 4338875104.

Almost surely, 2^{56444341617400} is an apocalyptic number.

56444341617400 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 56444341617400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71827300861200).

56444341617400 is an abundant number, since it is smaller than the sum of its proper divisors (87210260105000).

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

56444341617400 is a wasteful number, since it uses less digits than its factorization.

56444341617400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19650 (or 19641 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 49.

The spelling of 56444341617400 in words is "fifty-six trillion, four hundred forty-four billion, three hundred forty-one million, six hundred seventeen thousand, four hundred".