13379912663040 has 816 divisors, whose sum is σ = 57829565379456. Its totient is φ = 2780194406400.

The previous prime is 13379912663009. The next prime is 13379912663081. The reversal of 13379912663040 is 4036621997331.

13379912663040 is a `hidden beast` number, since 1 + 3 + 3 + 79 + 9 + 1 + 266 + 304 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 227052780 + ... + 227111700.

It is an arithmetic number, because the mean of its divisors is an integer number (70869565416).

Almost surely, 2^{13379912663040} is an apocalyptic number.

13379912663040 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 13379912663040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28914782689728).

13379912663040 is an abundant number, since it is smaller than the sum of its proper divisors (44449652716416).

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

13379912663040 is an equidigital number, since it uses as much as digits as its factorization.

13379912663040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58982 (or 58949 counting only the distinct ones).

The product of its (nonzero) digits is 4408992, while the sum is 54.

The spelling of 13379912663040 in words is "thirteen trillion, three hundred seventy-nine billion, nine hundred twelve million, six hundred sixty-three thousand, forty".