4004400444 has 48 divisors (see below), whose sum is σ = 10236844800. Its totient is φ = 1208237440.

The previous prime is 4004400403. The next prime is 4004400451. The reversal of 4004400444 is 4440044004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34344 + ... + 95855.

It is an arithmetic number, because the mean of its divisors is an integer number (213267600).

Almost surely, 2^4004400444 is an apocalyptic number.

4004400444 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4004400444 is an abundant number, since it is smaller than the sum of its proper divisors (6232444356).

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

4004400444 is a wasteful number, since it uses less digits than its factorization.

4004400444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130450 (or 130448 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

The square root of 4004400444 is about 63280.3322051963. The cubic root of 4004400444 is about 1587.9829444245.

Adding to 4004400444 its reverse (4440044004), we get a palindrome (8444444448).

The spelling of 4004400444 in words is "four billion, four million, four hundred thousand, four hundred forty-four".