13140978400 has 72 divisors (see below), whose sum is σ = 34996838184. Its totient is φ = 4778534400.

The previous prime is 13140978391. The next prime is 13140978437. The reversal of 13140978400 is 487904131.

It is a self number, because there is not a number n which added to its sum of digits gives 13140978400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 737847 + ... + 755446.

It is an arithmetic number, because the mean of its divisors is an integer number (486067197).

Almost surely, 2^13140978400 is an apocalyptic number.

13140978400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13140978400 is an abundant number, since it is smaller than the sum of its proper divisors (21855859784).

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

13140978400 is a wasteful number, since it uses less digits than its factorization.

13140978400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1493324 (or 1493311 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 37.

The spelling of 13140978400 in words is "thirteen billion, one hundred forty million, nine hundred seventy-eight thousand, four hundred".