8004404404040 has 32 divisors (see below), whose sum is σ = 19647174447360. Its totient is φ = 2910692510400.

The previous prime is 8004404404033. The next prime is 8004404404067. The reversal of 8004404404040 is 404044044008.

It is a super-3 number, since 3×8004404404040³ (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 8004404403988 and 8004404404006.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9095913656 + ... + 9095914535.

It is an arithmetic number, because the mean of its divisors is an integer number (613974201480).

Almost surely, 2^{8004404404040} is an apocalyptic number.

It is an amenable number.

8004404404040 is an abundant number, since it is smaller than the sum of its proper divisors (11642770043320).

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

8004404404040 is a wasteful number, since it uses less digits than its factorization.

8004404404040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18191828213 (or 18191828209 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 32.

Adding to 8004404404040 its reverse (404044044008), we get a palindrome (8408448448048).

The spelling of 8004404404040 in words is "eight trillion, four billion, four hundred four million, four hundred four thousand, forty".