4004004444 has 48 divisors (see below), whose sum is σ = 10728439680. Its totient is φ = 1149474240.

The previous prime is 4004004419. The next prime is 4004004449. The reversal of 4004004444 is 4444004004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4004004449) 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, 795739 + ... + 800754.

It is an arithmetic number, because the mean of its divisors is an integer number (223509160).

Almost surely, 2^4004004444 is an apocalyptic number.

4004004444 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4004004444 is an abundant number, since it is smaller than the sum of its proper divisors (6724435236).

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

4004004444 is a wasteful number, since it uses less digits than its factorization.

4004004444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1596530 (or 1596528 counting only the distinct ones).

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

The square root of 4004004444 is about 63277.2031935673. The cubic root of 4004004444 is about 1587.9305968479.

Adding to 4004004444 its reverse (4444004004), we get a palindrome (8448008448).

The spelling of 4004004444 in words is "four billion, four million, four thousand, four hundred forty-four".