13290807040 has 324 divisors, whose sum is σ = 39151581336. Its totient is φ = 4309659648.

The previous prime is 13290807001. The next prime is 13290807083. The reversal of 13290807040 is 4070809231.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 13290806987 and 13290807005.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 22641627 + ... + 22642213.

It is an arithmetic number, because the mean of its divisors is an integer number (120838214).

Almost surely, 2^13290807040 is an apocalyptic number.

13290807040 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 13290807040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19575790668).

13290807040 is an abundant number, since it is smaller than the sum of its proper divisors (25860774296).

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

13290807040 is an equidigital number, since it uses as much as digits as its factorization.

13290807040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 660 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The spelling of 13290807040 in words is "thirteen billion, two hundred ninety million, eight hundred seven thousand, forty".