8008408040 has 32 divisors (see below), whose sum is σ = 18967284000. Its totient is φ = 3034764864.

The previous prime is 8008408007. The next prime is 8008408061. The reversal of 8008408040 is 408048008.

It is a junction number, because it is equal to n+sod(n) for n = 8008407988 and 8008408006.

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, 5267930 + ... + 5269449.

It is an arithmetic number, because the mean of its divisors is an integer number (592727625).

Almost surely, 2^8008408040 is an apocalyptic number.

It is an amenable number.

8008408040 is an abundant number, since it is smaller than the sum of its proper divisors (10958875960).

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

8008408040 is a wasteful number, since it uses less digits than its factorization.

8008408040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10537409 (or 10537405 counting only the distinct ones).

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

The square root of 8008408040 is about 89489.7091290390. The cubic root of 8008408040 is about 2000.7004246740.

The spelling of 8008408040 in words is "eight billion, eight million, four hundred eight thousand, forty".