13408662960 has 960 divisors, whose sum is σ = 61070091264. Its totient is φ = 2550988800.

The previous prime is 13408662929. The next prime is 13408662961. The reversal of 13408662960 is 6926680431.

13408662960 is a `hidden beast` number, since 13 + 4 + 0 + 8 + 6 + 629 + 6 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (13408662961) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 38641507 + ... + 38641853.

Almost surely, 2^13408662960 is an apocalyptic number.

13408662960 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 13408662960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30535045632).

13408662960 is an abundant number, since it is smaller than the sum of its proper divisors (47661428304).

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

13408662960 is a wasteful number, since it uses less digits than its factorization.

13408662960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 13408662960 in words is "thirteen billion, four hundred eight million, six hundred sixty-two thousand, nine hundred sixty".