13366402744320 has 1008 divisors, whose sum is σ = 51703664070240. Its totient is φ = 3174517702656.

The previous prime is 13366402744319. The next prime is 13366402744403. The reversal of 13366402744320 is 2344720466331.

13366402744320 is a `hidden beast` number, since 1 + 336 + 6 + 4 + 0 + 274 + 43 + 2 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15241051722 + ... + 15241052598.

It is an arithmetic number, because the mean of its divisors is an integer number (51293317530).

Almost surely, 2^{13366402744320} is an apocalyptic number.

13366402744320 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 13366402744320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25851832035120).

13366402744320 is an abundant number, since it is smaller than the sum of its proper divisors (38337261325920).

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

13366402744320 is an frugal number, since it uses more digits than its factorization.

13366402744320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 964 (or 923 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 45.

The spelling of 13366402744320 in words is "thirteen trillion, three hundred sixty-six billion, four hundred two million, seven hundred forty-four thousand, three hundred twenty".