13402249920 has 168 divisors, whose sum is σ = 46968466896. Its totient is φ = 3506460672.

The previous prime is 13402249841. The next prime is 13402249943. The reversal of 13402249920 is 2994220431.

13402249920 is a `hidden beast` number, since 1 + 3 + 402 + 249 + 9 + 2 + 0 = 666.

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 23 ways as a sum of consecutive naturals, for example, 108739 + ... + 196541.

Almost surely, 2^13402249920 is an apocalyptic number.

13402249920 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 13402249920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23484233448).

13402249920 is an abundant number, since it is smaller than the sum of its proper divisors (33566216976).

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

13402249920 is a wasteful number, since it uses less digits than its factorization.

13402249920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87879 (or 87866 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 13402249920 in words is "thirteen billion, four hundred two million, two hundred forty-nine thousand, nine hundred twenty".