13934879115840 has 1120 divisors, whose sum is σ = 55062739353600. Its totient is φ = 3329004994560.

The previous prime is 13934879115799. The next prime is 13934879115841. The reversal of 13934879115840 is 4851197843931.

13934879115840 is a `hidden beast` number, since 1 + 3 + 9 + 3 + 48 + 7 + 9 + 1 + 1 + 584 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (13934879115841) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 907270081 + ... + 907285439.

Almost surely, 2^{13934879115840} is an apocalyptic number.

13934879115840 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 13934879115840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27531369676800).

13934879115840 is an abundant number, since it is smaller than the sum of its proper divisors (41127860237760).

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

13934879115840 is a wasteful number, since it uses less digits than its factorization.

13934879115840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15505 (or 15486 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 63.

The spelling of 13934879115840 in words is "thirteen trillion, nine hundred thirty-four billion, eight hundred seventy-nine million, one hundred fifteen thousand, eight hundred forty".