13040982397824 has 256 divisors, whose sum is σ = 37102889134080. Its totient is φ = 4048843538432.

The previous prime is 13040982397643. The next prime is 13040982397841. The reversal of 13040982397824 is 42879328904031.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 81695752 + ... + 81855224.

It is an arithmetic number, because the mean of its divisors is an integer number (144933160680).

Almost surely, 2^{13040982397824} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13040982397824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18551444567040).

13040982397824 is an abundant number, since it is smaller than the sum of its proper divisors (24061906736256).

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

13040982397824 is a wasteful number, since it uses less digits than its factorization.

13040982397824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159757 (or 159745 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 60.

The spelling of 13040982397824 in words is "thirteen trillion, forty billion, nine hundred eighty-two million, three hundred ninety-seven thousand, eight hundred twenty-four".