13109642040 has 256 divisors, whose sum is σ = 45287424000. Its totient is φ = 3002503680.

The previous prime is 13109642023. The next prime is 13109642099. The reversal of 13109642040 is 4024690131.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 13109641989 and 13109642007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18032157 + ... + 18032883.

It is an arithmetic number, because the mean of its divisors is an integer number (176904000).

Almost surely, 2^13109642040 is an apocalyptic number.

13109642040 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 13109642040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22643712000).

13109642040 is an abundant number, since it is smaller than the sum of its proper divisors (32177781960).

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

13109642040 is a wasteful number, since it uses less digits than its factorization.

13109642040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1490 (or 1486 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The spelling of 13109642040 in words is "thirteen billion, one hundred nine million, six hundred forty-two thousand, forty".