13456040918400 has 288 divisors, whose sum is σ = 48018701476200. Its totient is φ = 3587943997440.

The previous prime is 13456040918389. The next prime is 13456040918513. The reversal of 13456040918400 is 481904065431.

13456040918400 is a `hidden beast` number, since 1 + 3 + 4 + 5 + 60 + 409 + 184 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 564727287 + ... + 564751113.

Almost surely, 2^{13456040918400} is an apocalyptic number.

13456040918400 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 13456040918400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24009350738100).

13456040918400 is an abundant number, since it is smaller than the sum of its proper divisors (34562660557800).

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

13456040918400 is a wasteful number, since it uses less digits than its factorization.

13456040918400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43466 (or 43446 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 13456040918400 in words is "thirteen trillion, four hundred fifty-six billion, forty million, nine hundred eighteen thousand, four hundred".