8008808040 has 128 divisors (see below), whose sum is σ = 26764704000. Its totient is φ = 2130188544.

The previous prime is 8008808039. The next prime is 8008808063. The reversal of 8008808040 is 408088008.

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

It is a junction number, because it is equal to n+sod(n) for n = 8008807986 and 8008808004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 419421 + ... + 438099.

It is an arithmetic number, because the mean of its divisors is an integer number (209099250).

Almost surely, 2^8008808040 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 8008808040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13382352000).

8008808040 is an abundant number, since it is smaller than the sum of its proper divisors (18755895960).

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

8008808040 is a wasteful number, since it uses less digits than its factorization.

8008808040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19096 (or 19086 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The square root of 8008808040 is about 89491.9439949764. The cubic root of 8008808040 is about 2000.7337341175.

The spelling of 8008808040 in words is "eight billion, eight million, eight hundred eight thousand, forty".