13379577314400 has 864 divisors, whose sum is σ = 54955887098112. Its totient is φ = 3030341529600.

The previous prime is 13379577314393. The next prime is 13379577314491. The reversal of 13379577314400 is 441377597331.

13379577314400 is a `hidden beast` number, since 1 + 3 + 37 + 9 + 577 + 31 + 4 + 4 + 0 + 0 = 666.

It is a super-3 number, since 3×13379577314400³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 78243394 + ... + 78414206.

It is an arithmetic number, because the mean of its divisors is an integer number (63606350808).

Almost surely, 2^{13379577314400} is an apocalyptic number.

13379577314400 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 13379577314400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27477943549056).

13379577314400 is an abundant number, since it is smaller than the sum of its proper divisors (41576309783712).

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

13379577314400 is a wasteful number, since it uses less digits than its factorization.

13379577314400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170916 (or 170900 counting only the distinct ones).

The product of its (nonzero) digits is 6667920, while the sum is 54.

The spelling of 13379577314400 in words is "thirteen trillion, three hundred seventy-nine billion, five hundred seventy-seven million, three hundred fourteen thousand, four hundred".