13415427792 has 160 divisors (see below), whose sum is σ = 41541368960. Its totient is φ = 4120657920.

The previous prime is 13415427749. The next prime is 13415427797. The reversal of 13415427792 is 29772451431.

13415427792 is a `hidden beast` number, since 1 + 34 + 1 + 542 + 7 + 79 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13415427797) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3878928 + ... + 3882384.

It is an arithmetic number, because the mean of its divisors is an integer number (259633556).

Almost surely, 2^13415427792 is an apocalyptic number.

13415427792 is a gapful number since it is divisible by the number (12) 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 13415427792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20770684480).

13415427792 is an abundant number, since it is smaller than the sum of its proper divisors (28125941168).

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

13415427792 is a wasteful number, since it uses less digits than its factorization.

13415427792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4178 (or 4166 counting only the distinct ones).

The product of its digits is 423360, while the sum is 45.

The spelling of 13415427792 in words is "thirteen billion, four hundred fifteen million, four hundred twenty-seven thousand, seven hundred ninety-two".