8004088040 has 32 divisors (see below), whose sum is σ = 19394522280. Its totient is φ = 2955355392.

The previous prime is 8004088039. The next prime is 8004088049. The reversal of 8004088040 is 408804008.

It can be written as a sum of positive squares in 4 ways, for example, as 4933376644 + 3070711396 = 70238^2 + 55414^2 .

It is a junction number, because it is equal to n+sod(n) for n = 8004087988 and 8004088006.

It is not an unprimeable number, because it can be changed into a prime (8004088049) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7695719 + ... + 7696758.

Almost surely, 2^8004088040 is an apocalyptic number.

It is an amenable number.

8004088040 is an abundant number, since it is smaller than the sum of its proper divisors (11390434240).

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

8004088040 is a wasteful number, since it uses less digits than its factorization.

8004088040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15392501 (or 15392497 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 32.

The square root of 8004088040 is about 89465.5690195955. The cubic root of 8004088040 is about 2000.3406119884.

The spelling of 8004088040 in words is "eight billion, four million, eighty-eight thousand, forty".