4000000008 has 64 divisors (see below), whose sum is σ = 10245565440. Its totient is φ = 1300670784.

The previous prime is 4000000007. The next prime is 4000000009. The reversal of 4000000008 is 8000000004.

It is an interprime number because it is at equal distance from previous prime (4000000007) and next prime (4000000009).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (4000000007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1012485 + ... + 1016427.

It is an arithmetic number, because the mean of its divisors is an integer number (160086960).

Almost surely, 2^4000000008 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 4000000008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5122782720).

4000000008 is an abundant number, since it is smaller than the sum of its proper divisors (6245565432).

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

4000000008 is a wasteful number, since it uses less digits than its factorization.

4000000008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4978 (or 4974 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 4000000008 is about 63245.5532666131. The cubic root of 4000000008 is about 1587.4010530265.

The spelling of 4000000008 in words is "four billion, eight", and thus it is an aban number.