13079869440 has 192 divisors, whose sum is σ = 45650666880. Its totient is φ = 3170795520.

The previous prime is 13079869433. The next prime is 13079869447. The reversal of 13079869440 is 4496897031.

It is an interprime number because it is at equal distance from previous prime (13079869433) and next prime (13079869447).

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13079869447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 318567 + ... + 357273.

It is an arithmetic number, because the mean of its divisors is an integer number (237763890).

Almost surely, 2^13079869440 is an apocalyptic number.

13079869440 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 13079869440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22825333440).

13079869440 is an abundant number, since it is smaller than the sum of its proper divisors (32570797440).

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

13079869440 is a wasteful number, since it uses less digits than its factorization.

13079869440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38748 (or 38728 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 51.

The spelling of 13079869440 in words is "thirteen billion, seventy-nine million, eight hundred sixty-nine thousand, four hundred forty".