13057381040 has 240 divisors, whose sum is σ = 35138251008. Its totient is φ = 4502784000.

The previous prime is 13057381031. The next prime is 13057381061. The reversal of 13057381040 is 4018375031.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 13057380988 and 13057381006.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15903830 + ... + 15904650.

Almost surely, 2^13057381040 is an apocalyptic number.

13057381040 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 13057381040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17569125504).

13057381040 is an abundant number, since it is smaller than the sum of its proper divisors (22080869968).

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

13057381040 is a wasteful number, since it uses less digits than its factorization.

13057381040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 940 (or 923 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 32.

The spelling of 13057381040 in words is "thirteen billion, fifty-seven million, three hundred eighty-one thousand, forty".