4000400800 has 144 divisors (see below), whose sum is σ = 10784122272. Its totient is φ = 1436902400.

The previous prime is 4000400773. The next prime is 4000400821. The reversal of 4000400800 is 80040004.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 727662 + ... + 733138.

It is an arithmetic number, because the mean of its divisors is an integer number (74889738).

Almost surely, 2^4000400800 is an apocalyptic number.

4000400800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4000400800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5392061136).

4000400800 is an abundant number, since it is smaller than the sum of its proper divisors (6783721472).

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

4000400800 is a wasteful number, since it uses less digits than its factorization.

4000400800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5591 (or 5578 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 4000400800 is about 63248.7217262136. The cubic root of 4000400800 is about 1587.4540693926.

Adding to 4000400800 its reverse (80040004), we get a palindrome (4080440804).

The spelling of 4000400800 in words is "four billion, four hundred thousand, eight hundred".