214412410400 has 72 divisors (see below), whose sum is σ = 524943432720. Its totient is φ = 85517692160.

The previous prime is 214412410363. The next prime is 214412410447. The reversal of 214412410400 is 4014214412.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 108590 + ... + 663789.

It is an arithmetic number, because the mean of its divisors is an integer number (7290881010).

Almost surely, 2^214412410400 is an apocalyptic number.

214412410400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214412410400 is an abundant number, since it is smaller than the sum of its proper divisors (310531022320).

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

214412410400 is a wasteful number, since it uses less digits than its factorization.

214412410400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 772746 (or 772733 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 23.

Adding to 214412410400 its reverse (4014214412), we get a palindrome (218426624812).

The spelling of 214412410400 in words is "two hundred fourteen billion, four hundred twelve million, four hundred ten thousand, four hundred".