14131413120 has 256 divisors, whose sum is σ = 49295278080. Its totient is φ = 3414896640.

The previous prime is 14131413119. The next prime is 14131413193. The reversal of 14131413120 is 2131413141.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8088087 + ... + 8089833.

It is an arithmetic number, because the mean of its divisors is an integer number (192559680).

Almost surely, 2^14131413120 is an apocalyptic number.

14131413120 is a gapful number since it is divisible by the number (10) 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 14131413120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24647639040).

14131413120 is an abundant number, since it is smaller than the sum of its proper divisors (35163864960).

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

14131413120 is a wasteful number, since it uses less digits than its factorization.

14131413120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2163 (or 2151 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 14131413120 its sum of digits (21), we get a palindrome (14131413141).

Adding to 14131413120 its reverse (2131413141), we get a palindrome (16262826261).

The spelling of 14131413120 in words is "fourteen billion, one hundred thirty-one million, four hundred thirteen thousand, one hundred twenty".