4000800408 has 32 divisors (see below), whose sum is σ = 10911274560. Its totient is φ = 1212363680.

The previous prime is 4000800403. The next prime is 4000800421. The reversal of 4000800408 is 8040080004.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4000800403) 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, 7577010 + ... + 7577537.

It is an arithmetic number, because the mean of its divisors is an integer number (340977330).

Almost surely, 2^4000800408 is an apocalyptic number.

It is an amenable number.

4000800408 is an abundant number, since it is smaller than the sum of its proper divisors (6910474152).

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

4000800408 is a wasteful number, since it uses less digits than its factorization.

4000800408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15154567 (or 15154563 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 4000800408 is about 63251.8806676924. The cubic root of 4000800408 is about 1587.5069256151.

It can be divided in two parts, 4000 and 800408, that added together give a palindrome (804408).

The spelling of 4000800408 in words is "four billion, eight hundred thousand, four hundred eight".