13332874240 has 352 divisors, whose sum is σ = 39333841920. Its totient is φ = 4232577024.

The previous prime is 13332874213. The next prime is 13332874267. The reversal of 13332874240 is 4247823331.

It is an interprime number because it is at equal distance from previous prime (13332874213) and next prime (13332874267).

It is a self number, because there is not a number n which added to its sum of digits gives 13332874240.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48132982 + ... + 48133258.

Almost surely, 2^13332874240 is an apocalyptic number.

13332874240 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 13332874240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19666920960).

13332874240 is an abundant number, since it is smaller than the sum of its proper divisors (26000967680).

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

13332874240 is a wasteful number, since it uses less digits than its factorization.

13332874240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 37.

The spelling of 13332874240 in words is "thirteen billion, three hundred thirty-two million, eight hundred seventy-four thousand, two hundred forty".