13934097964800 has 1080 divisors, whose sum is σ = 55561043768384. Its totient is φ = 3425162526720.

The previous prime is 13934097964799. The next prime is 13934097964859. The reversal of 13934097964800 is 846979043931.

13934097964800 is a `hidden beast` number, since 1 + 3 + 93 + 409 + 7 + 9 + 64 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 9589880874 + ... + 9589882326.

Almost surely, 2^{13934097964800} is an apocalyptic number.

13934097964800 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 13934097964800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27780521884192).

13934097964800 is an abundant number, since it is smaller than the sum of its proper divisors (41626945803584).

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

13934097964800 is a wasteful number, since it uses less digits than its factorization.

13934097964800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2927 (or 2899 counting only the distinct ones).

The product of its (nonzero) digits is 35271936, while the sum is 63.

The spelling of 13934097964800 in words is "thirteen trillion, nine hundred thirty-four billion, ninety-seven million, nine hundred sixty-four thousand, eight hundred".