13657915440 has 400 divisors, whose sum is σ = 51406584768. Its totient is φ = 3340818432.

The previous prime is 13657915357. The next prime is 13657915451. The reversal of 13657915440 is 4451975631.

13657915440 is a `hidden beast` number, since 1 + 36 + 5 + 79 + 1 + 544 + 0 = 666.

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 79 ways as a sum of consecutive naturals, for example, 16594869 + ... + 16595691.

Almost surely, 2^13657915440 is an apocalyptic number.

13657915440 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 13657915440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25703292384).

13657915440 is an abundant number, since it is smaller than the sum of its proper divisors (37748669328).

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

13657915440 is a wasteful number, since it uses less digits than its factorization.

13657915440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1058 (or 1043 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 13657915440 in words is "thirteen billion, six hundred fifty-seven million, nine hundred fifteen thousand, four hundred forty".