13291115040 has 480 divisors, whose sum is σ = 53919613440. Its totient is φ = 3020322816.

The previous prime is 13291115009. The next prime is 13291115051. The reversal of 13291115040 is 4051119231.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 13291114995 and 13291115013.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 21681774 + ... + 21682386.

It is an arithmetic number, because the mean of its divisors is an integer number (112332528).

Almost surely, 2^13291115040 is an apocalyptic number.

13291115040 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 13291115040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26959806720).

13291115040 is an abundant number, since it is smaller than the sum of its proper divisors (40628498400).

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

13291115040 is a wasteful number, since it uses less digits than its factorization.

13291115040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 886 (or 869 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The spelling of 13291115040 in words is "thirteen billion, two hundred ninety-one million, one hundred fifteen thousand, forty".