13318866253440 has 512 divisors, whose sum is σ = 51989835744000. Its totient is φ = 3195524874240.

The previous prime is 13318866253387. The next prime is 13318866253477. The reversal of 13318866253440 is 4435266881331.

13318866253440 is a `hidden beast` number, since 1 + 3 + 3 + 1 + 8 + 8 + 6 + 62 + 534 + 40 = 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 63 ways as a sum of consecutive naturals, for example, 18076576 + ... + 18798944.

Almost surely, 2^{13318866253440} is an apocalyptic number.

13318866253440 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 13318866253440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25994917872000).

13318866253440 is an abundant number, since it is smaller than the sum of its proper divisors (38670969490560).

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

13318866253440 is a wasteful number, since it uses less digits than its factorization.

13318866253440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 722505 (or 722487 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 13318866253440 in words is "thirteen trillion, three hundred eighteen billion, eight hundred sixty-six million, two hundred fifty-three thousand, four hundred forty".