214040413120 has 56 divisors (see below), whose sum is σ = 509726629008. Its totient is φ = 85608960000.

The previous prime is 214040413117. The next prime is 214040413193. The reversal of 214040413120 is 21314040412.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 214040413091 and 214040413100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5433495 + ... + 5472745.

Almost surely, 2^214040413120 is an apocalyptic number.

214040413120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214040413120 is an abundant number, since it is smaller than the sum of its proper divisors (295686215888).

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

214040413120 is a wasteful number, since it uses less digits than its factorization.

214040413120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56309 (or 56299 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 214040413120 its reverse (21314040412), we get a palindrome (235354453532).

The spelling of 214040413120 in words is "two hundred fourteen billion, forty million, four hundred thirteen thousand, one hundred twenty".