13632013331440 has 80 divisors (see below), whose sum is σ = 36222796592640. Its totient is φ = 4673757047040.

The previous prime is 13632013331437. The next prime is 13632013331441. The reversal of 13632013331440 is 4413331023631.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 13632013331396 and 13632013331405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13632013331441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42394791 + ... + 42715129.

It is an arithmetic number, because the mean of its divisors is an integer number (452784957408).

Almost surely, 2^{13632013331440} is an apocalyptic number.

13632013331440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13632013331440 is an abundant number, since it is smaller than the sum of its proper divisors (22590783261200).

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

13632013331440 is a wasteful number, since it uses less digits than its factorization.

13632013331440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396350 (or 396344 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 34.

The spelling of 13632013331440 in words is "thirteen trillion, six hundred thirty-two billion, thirteen million, three hundred thirty-one thousand, four hundred forty".