13120799040 has 224 divisors, whose sum is σ = 46402508160. Its totient is φ = 3490172928.

The previous prime is 13120799033. The next prime is 13120799051. The reversal of 13120799040 is 4099702131.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 13120798986 and 13120799004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3946819 + ... + 3950141.

Almost surely, 2^13120799040 is an apocalyptic number.

13120799040 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 13120799040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23201254080).

13120799040 is an abundant number, since it is smaller than the sum of its proper divisors (33281709120).

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

13120799040 is a wasteful number, since it uses less digits than its factorization.

13120799040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3806 (or 3790 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The spelling of 13120799040 in words is "thirteen billion, one hundred twenty million, seven hundred ninety-nine thousand, forty".