13927112640 has 336 divisors, whose sum is σ = 57968644032. Its totient is φ = 2996011008.

The previous prime is 13927112611. The next prime is 13927112711. The reversal of 13927112640 is 4621172931.

13927112640 is a `hidden beast` number, since 1 + 3 + 9 + 2 + 7 + 1 + 1 + 2 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 13927112595 and 13927112604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 322402 + ... + 363038.

Almost surely, 2^13927112640 is an apocalyptic number.

13927112640 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 13927112640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28984322016).

13927112640 is an abundant number, since it is smaller than the sum of its proper divisors (44041531392).

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

13927112640 is a wasteful number, since it uses less digits than its factorization.

13927112640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40684 (or 40671 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 13927112640 in words is "thirteen billion, nine hundred twenty-seven million, one hundred twelve thousand, six hundred forty".