13612938240 has 704 divisors, whose sum is σ = 51615055872. Its totient is φ = 3027763200.

The previous prime is 13612938239. The next prime is 13612938299. The reversal of 13612938240 is 4283921631.

It is a tau number, because it is divible by the number of its divisors (704).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 120468424 + ... + 120468536.

Almost surely, 2^13612938240 is an apocalyptic number.

13612938240 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 13612938240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25807527936).

13612938240 is an abundant number, since it is smaller than the sum of its proper divisors (38002117632).

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

13612938240 is a wasteful number, since it uses less digits than its factorization.

13612938240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The spelling of 13612938240 in words is "thirteen billion, six hundred twelve million, nine hundred thirty-eight thousand, two hundred forty".