13040040000 has 420 divisors, whose sum is σ = 46757545296. Its totient is φ = 3204864000.

The previous prime is 13040039989. The next prime is 13040040011. The reversal of 13040040000 is 4004031.

It is an interprime number because it is at equal distance from previous prime (13040039989) and next prime (13040040011).

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 59 ways as a sum of consecutive naturals, for example, 20279679 + ... + 20280321.

Almost surely, 2^13040040000 is an apocalyptic number.

13040040000 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 13040040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23378772648).

13040040000 is an abundant number, since it is smaller than the sum of its proper divisors (33717505296).

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

13040040000 is an equidigital number, since it uses as much as digits as its factorization.

13040040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 704 (or 666 counting only the distinct ones).

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

Adding to 13040040000 its reverse (4004031), we get a palindrome (13044044031).

The spelling of 13040040000 in words is "thirteen billion, forty million, forty thousand".