13040757240000 has 560 divisors, whose sum is σ = 50323744846848. Its totient is φ = 2917315584000.

The previous prime is 13040757239963. The next prime is 13040757240101. The reversal of 13040757240000 is 4275704031.

13040757240000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (560).

It is a super-2 number, since 2×13040757240000² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 39314844 + ... + 39645156.

Almost surely, 2^{13040757240000} is an apocalyptic number.

13040757240000 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 13040757240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25161872423424).

13040757240000 is an abundant number, since it is smaller than the sum of its proper divisors (37282987606848).

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

13040757240000 is an equidigital number, since it uses as much as digits as its factorization.

13040757240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330402 (or 330377 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 33.

The spelling of 13040757240000 in words is "thirteen trillion, forty billion, seven hundred fifty-seven million, two hundred forty thousand".