414113442120 has 96 divisors (see below), whose sum is σ = 1538135651520. Its totient is φ = 94654500480.

The previous prime is 414113442059. The next prime is 414113442157. The reversal of 414113442120 is 21244311414.

414113442120 is a `hidden beast` number, since 4 + 1 + 411 + 34 + 4 + 212 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82162846 + ... + 82167885.

It is an arithmetic number, because the mean of its divisors is an integer number (16022246370).

Almost surely, 2^414113442120 is an apocalyptic number.

414113442120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

414113442120 is an abundant number, since it is smaller than the sum of its proper divisors (1124022209400).

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

414113442120 is a wasteful number, since it uses less digits than its factorization.

414113442120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164330755 (or 164330748 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 414113442120 its reverse (21244311414), we get a palindrome (435357753534).

The spelling of 414113442120 in words is "four hundred fourteen billion, one hundred thirteen million, four hundred forty-two thousand, one hundred twenty".