13440832376832 has 1248 divisors, whose sum is σ = 47779348032000. Its totient is φ = 3631862513664.

The previous prime is 13440832376831. The next prime is 13440832376857. The reversal of 13440832376832 is 23867323804431.

13440832376832 is a `hidden beast` number, since 1 + 3 + 440 + 83 + 2 + 37 + 68 + 32 = 666.

It is not an unprimeable number, because it can be changed into a prime (13440832376831) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 32862670644 + ... + 32862671052.

It is an arithmetic number, because the mean of its divisors is an integer number (38284734000).

Almost surely, 2^{13440832376832} is an apocalyptic number.

13440832376832 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 13440832376832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23889674016000).

13440832376832 is an abundant number, since it is smaller than the sum of its proper divisors (34338515655168).

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

13440832376832 is a wasteful number, since it uses less digits than its factorization.

13440832376832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 596 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 54.

The spelling of 13440832376832 in words is "thirteen trillion, four hundred forty billion, eight hundred thirty-two million, three hundred seventy-six thousand, eight hundred thirty-two".