8004000040 has 64 divisors (see below), whose sum is σ = 18969552000. Its totient is φ = 3031061760.

The previous prime is 8004000007. The next prime is 8004000041. The reversal of 8004000040 is 400004008.

It is a junction number, because it is equal to n+sod(n) for n = 8003999978 and 8004000023.

It is not an unprimeable number, because it can be changed into a prime (8004000041) 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, 1624701 + ... + 1629619.

It is an arithmetic number, because the mean of its divisors is an integer number (296399250).

Almost surely, 2^8004000040 is an apocalyptic number.

It is an amenable number.

8004000040 is an abundant number, since it is smaller than the sum of its proper divisors (10965551960).

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

8004000040 is a wasteful number, since it uses less digits than its factorization.

8004000040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7090 (or 7086 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 8004000040 is about 89465.0772089311. The cubic root of 8004000040 is about 2000.3332811254. Note that the first 3 decimals are identical.

Adding to 8004000040 its reverse (400004008), we get a palindrome (8404004048).

The spelling of 8004000040 in words is "eight billion, four million, forty", and thus it is an aban number.