8008440044004 has 36 divisors (see below), whose sum is σ = 20360571572796. Its totient is φ = 2654049492288.

The previous prime is 8008440043979. The next prime is 8008440044051. The reversal of 8008440044004 is 4004400448008.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 6965798918400 + 1042641125604 = 2639280^2 + 1021098^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×8008440044004² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 8008440044004.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 642932119 + ... + 642944574.

Almost surely, 2^{8008440044004} is an apocalyptic number.

It is an amenable number.

8008440044004 is an abundant number, since it is smaller than the sum of its proper divisors (12352131528792).

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

8008440044004 is a wasteful number, since it uses less digits than its factorization.

8008440044004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1285876876 (or 1285876871 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 36.

It can be divided in two parts, 800844004 and 4004, that added together give a palindrome (800848008).

The spelling of 8008440044004 in words is "eight trillion, eight billion, four hundred forty million, forty-four thousand, four".