56041385400 has 1152 divisors, whose sum is σ = 266157964800. Its totient is φ = 10177228800.

The previous prime is 56041385399. The next prime is 56041385417. The reversal of 56041385400 is 458314065.

It is a happy number.

56041385400 is a `hidden beast` number, since 5 + 604 + 1 + 3 + 8 + 5 + 40 + 0 = 666.

56041385400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 34233382 + ... + 34235018.

It is an arithmetic number, because the mean of its divisors is an integer number (231039900).

Almost surely, 2^56041385400 is an apocalyptic number.

56041385400 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 56041385400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133078982400).

56041385400 is an abundant number, since it is smaller than the sum of its proper divisors (210116579400).

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

56041385400 is a wasteful number, since it uses less digits than its factorization.

56041385400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1709 (or 1697 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Adding to 56041385400 its reverse (458314065), we get a palindrome (56499699465).

The spelling of 56041385400 in words is "fifty-six billion, forty-one million, three hundred eighty-five thousand, four hundred".