13440815856000 has 384 divisors, whose sum is σ = 51982362563040. Its totient is φ = 3308508057600.

The previous prime is 13440815855977. The next prime is 13440815856007. The reversal of 13440815856000 is 65851804431.

13440815856000 is a `hidden beast` number, since 1 + 3 + 4 + 4 + 0 + 8 + 1 + 585 + 60 + 0 + 0 = 666.

13440815856000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13440815856007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1717962 + ... + 5461961.

Almost surely, 2^{13440815856000} is an apocalyptic number.

13440815856000 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 13440815856000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25991181281520).

13440815856000 is an abundant number, since it is smaller than the sum of its proper divisors (38541546707040).

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

13440815856000 is a wasteful number, since it uses less digits than its factorization.

13440815856000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7179971 (or 7179946 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 13440815856000 in words is "thirteen trillion, four hundred forty billion, eight hundred fifteen million, eight hundred fifty-six thousand".