13415407920 has 360 divisors, whose sum is σ = 47664293040. Its totient is φ = 3510397440.

The previous prime is 13415407909. The next prime is 13415407991. The reversal of 13415407920 is 2970451431.

13415407920 is a `hidden beast` number, since 1 + 3 + 41 + 540 + 79 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 32017471 + ... + 32017889.

It is an arithmetic number, because the mean of its divisors is an integer number (132400814).

Almost surely, 2^13415407920 is an apocalyptic number.

13415407920 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 13415407920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23832146520).

13415407920 is an abundant number, since it is smaller than the sum of its proper divisors (34248885120).

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

13415407920 is an frugal number, since it uses more digits than its factorization.

13415407920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 13415407920 in words is "thirteen billion, four hundred fifteen million, four hundred seven thousand, nine hundred twenty".