13909915319400 has 288 divisors, whose sum is σ = 47797403940000. Its totient is φ = 3624065763840.

The previous prime is 13909915319357. The next prime is 13909915319441. The reversal of 13909915319400 is 491351990931.

It is a happy number.

13909915319400 is a `hidden beast` number, since 1 + 3 + 90 + 9 + 91 + 53 + 19 + 400 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 16908826 + ... + 17712374.

It is an arithmetic number, because the mean of its divisors is an integer number (165963208125).

Almost surely, 2^{13909915319400} is an apocalyptic number.

13909915319400 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 13909915319400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23898701970000).

13909915319400 is an abundant number, since it is smaller than the sum of its proper divisors (33887488620600).

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

13909915319400 is a wasteful number, since it uses less digits than its factorization.

13909915319400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 803793 (or 803781 counting only the distinct ones).

The product of its (nonzero) digits is 1180980, while the sum is 54.

The spelling of 13909915319400 in words is "thirteen trillion, nine hundred nine billion, nine hundred fifteen million, three hundred nineteen thousand, four hundred".