13729707014400 has 864 divisors, whose sum is σ = 54872139208320. Its totient is φ = 3338856529920.

The previous prime is 13729707014381. The next prime is 13729707014417. The reversal of 13729707014400 is 441070792731.

13729707014400 is a `hidden beast` number, since 1 + 3 + 72 + 9 + 70 + 70 + 1 + 440 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 186414382 + ... + 186488018.

It is an arithmetic number, because the mean of its divisors is an integer number (63509420380).

Almost surely, 2^{13729707014400} is an apocalyptic number.

13729707014400 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 13729707014400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27436069604160).

13729707014400 is an abundant number, since it is smaller than the sum of its proper divisors (41142432193920).

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

13729707014400 is a wasteful number, since it uses less digits than its factorization.

13729707014400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73768 (or 73743 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 45.

The spelling of 13729707014400 in words is "thirteen trillion, seven hundred twenty-nine billion, seven hundred seven million, fourteen thousand, four hundred".