13120408240 has 80 divisors (see below), whose sum is σ = 32352661440. Its totient is φ = 4931297280.

The previous prime is 13120408003. The next prime is 13120408247. The reversal of 13120408240 is 4280402131.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×13120408240² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13120408247) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 850516 + ... + 865804.

It is an arithmetic number, because the mean of its divisors is an integer number (404408268).

Almost surely, 2^13120408240 is an apocalyptic number.

13120408240 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 13120408240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16176330720).

13120408240 is an abundant number, since it is smaller than the sum of its proper divisors (19232253200).

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

13120408240 is a wasteful number, since it uses less digits than its factorization.

13120408240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15950 (or 15944 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The spelling of 13120408240 in words is "thirteen billion, one hundred twenty million, four hundred eight thousand, two hundred forty".