13004000040 has 128 divisors (see below), whose sum is σ = 39604723200. Its totient is φ = 3415357440.

The previous prime is 13004000039. The next prime is 13004000059. The reversal of 13004000040 is 4000040031.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 2892034 + ... + 2896526.

It is an arithmetic number, because the mean of its divisors is an integer number (309411900).

Almost surely, 2^13004000040 is an apocalyptic number.

13004000040 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 13004000040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19802361600).

13004000040 is an abundant number, since it is smaller than the sum of its proper divisors (26600723160).

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

13004000040 is a wasteful number, since it uses less digits than its factorization.

13004000040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4867 (or 4863 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 13004000040 its reverse (4000040031), we get a palindrome (17004040071).

The spelling of 13004000040 in words is "thirteen billion, four million, forty", and thus it is an aban number.