8004404040 has 64 divisors (see below), whose sum is σ = 24019934400. Its totient is φ = 2133910272.

The previous prime is 8004404029. The next prime is 8004404053. The reversal of 8004404040 is 404044008.

It is a super-3 number, since 3×8004404040³ (a number of 31 digits) contains 333 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 8004404040.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 570631 + ... + 584489.

It is an arithmetic number, because the mean of its divisors is an integer number (375311475).

Almost surely, 2^8004404040 is an apocalyptic number.

It is an amenable number.

8004404040 is an abundant number, since it is smaller than the sum of its proper divisors (16015530360).

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

8004404040 is a wasteful number, since it uses less digits than its factorization.

8004404040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18686 (or 18682 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 8004404040 is about 89467.3350446966. The cubic root of 8004404040 is about 2000.3669360082.

Adding to 8004404040 its reverse (404044008), we get a palindrome (8408448048).

The spelling of 8004404040 in words is "eight billion, four million, four hundred four thousand, forty".