214176120400 has 60 divisors (see below), whose sum is σ = 561336152544. Its totient is φ = 77882224000.

The previous prime is 214176120397. The next prime is 214176120409. The reversal of 214176120400 is 4021671412.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214176120409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24333796 + ... + 24342595.

Almost surely, 2^214176120400 is an apocalyptic number.

214176120400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214176120400 is an abundant number, since it is smaller than the sum of its proper divisors (347160032144).

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

214176120400 is a wasteful number, since it uses less digits than its factorization.

214176120400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48676420 (or 48676409 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

Adding to 214176120400 its reverse (4021671412), we get a palindrome (218197791812).

The spelling of 214176120400 in words is "two hundred fourteen billion, one hundred seventy-six million, one hundred twenty thousand, four hundred".