13388076040 has 64 divisors (see below), whose sum is σ = 31043295360. Its totient is φ = 5193223680.

The previous prime is 13388076029. The next prime is 13388076047. The reversal of 13388076040 is 4067088331.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 13388075984 and 13388076002.

It is not an unprimeable number, because it can be changed into a prime (13388076047) 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, 249439 + ... + 298321.

It is an arithmetic number, because the mean of its divisors is an integer number (485051490).

Almost surely, 2^13388076040 is an apocalyptic number.

13388076040 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 13388076040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15521647680).

13388076040 is an abundant number, since it is smaller than the sum of its proper divisors (17655219320).

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

13388076040 is a wasteful number, since it uses less digits than its factorization.

13388076040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49102 (or 49098 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 40.

The spelling of 13388076040 in words is "thirteen billion, three hundred eighty-eight million, seventy-six thousand, forty".