13356816913440 has 3840 divisors, whose sum is σ = 65276243214336. Its totient is φ = 2503837163520.

The previous prime is 13356816913411. The next prime is 13356816913483. The reversal of 13356816913440 is 4431961865331.

13356816913440 is a `hidden beast` number, since 1 + 3 + 3 + 56 + 81 + 69 + 13 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 105171786657 + ... + 105171786783.

Almost surely, 2^{13356816913440} is an apocalyptic number.

13356816913440 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 13356816913440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32638121607168).

13356816913440 is an abundant number, since it is smaller than the sum of its proper divisors (51919426300896).

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

13356816913440 is a wasteful number, since it uses less digits than its factorization.

13356816913440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 13356816913440 in words is "thirteen trillion, three hundred fifty-six billion, eight hundred sixteen million, nine hundred thirteen thousand, four hundred forty".