13121477591040 has 2880 divisors, whose sum is σ = 59743101196800. Its totient is φ = 2707546963968.

The previous prime is 13121477590999. The next prime is 13121477591069. The reversal of 13121477591040 is 4019577412131.

13121477591040 is a `hidden beast` number, since 1 + 3 + 1 + 2 + 14 + 7 + 7 + 591 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 94399119291 + ... + 94399119429.

It is an arithmetic number, because the mean of its divisors is an integer number (20744132360).

Almost surely, 2^{13121477591040} is an apocalyptic number.

13121477591040 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 13121477591040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29871550598400).

13121477591040 is an abundant number, since it is smaller than the sum of its proper divisors (46621623605760).

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

13121477591040 is a wasteful number, since it uses less digits than its factorization.

13121477591040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The spelling of 13121477591040 in words is "thirteen trillion, one hundred twenty-one billion, four hundred seventy-seven million, five hundred ninety-one thousand, forty".