56414918102400 has 2304 divisors, whose sum is σ = 246695902951680. Its totient is φ = 12550090752000.

The previous prime is 56414918102381. The next prime is 56414918102401. The reversal of 56414918102400 is 420181941465.

56414918102400 is a `hidden beast` number, since 5 + 6 + 41 + 491 + 81 + 0 + 2 + 40 + 0 = 666.

56414918102400 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 (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56414918102401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 20126619399 + ... + 20126622201.

It is an arithmetic number, because the mean of its divisors is an integer number (107072874545).

Almost surely, 2^{56414918102400} is an apocalyptic number.

56414918102400 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 56414918102400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123347951475840).

56414918102400 is an abundant number, since it is smaller than the sum of its proper divisors (190280984849280).

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

56414918102400 is a wasteful number, since it uses less digits than its factorization.

56414918102400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3047 (or 3018 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 56414918102400 in words is "fifty-six trillion, four hundred fourteen billion, nine hundred eighteen million, one hundred two thousand, four hundred".