8000804000040 has 256 divisors, whose sum is σ = 25301548800000. Its totient is φ = 2020000232448.

The previous prime is 8000803999949. The next prime is 8000804000041. The reversal of 8000804000040 is 400004080008.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (8000804000041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 306542911 + ... + 306569009.

It is an arithmetic number, because the mean of its divisors is an integer number (98834175000).

Almost surely, 2^{8000804000040} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8000804000040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12650774400000).

8000804000040 is an abundant number, since it is smaller than the sum of its proper divisors (17300744799960).

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

8000804000040 is a wasteful number, since it uses less digits than its factorization.

8000804000040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27264 (or 27260 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 8000804000040 its reverse (400004080008), we get a palindrome (8400808080048).

The spelling of 8000804000040 in words is "eight trillion, eight hundred four million, forty", and thus it is an aban number.