4400004004 has 48 divisors (see below), whose sum is σ = 8711942400. Its totient is φ = 1926086400.

The previous prime is 4400003989. The next prime is 4400004013. The reversal of 4400004004 is 4004000044.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 517669 + ... + 526099.

It is an arithmetic number, because the mean of its divisors is an integer number (181498800).

Almost surely, 2^4400004004 is an apocalyptic number.

4400004004 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4400004004 is a deficient number, since it is larger than the sum of its proper divisors (4311938396).

4400004004 is a wasteful number, since it uses less digits than its factorization.

4400004004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8884 (or 8882 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 4400004004 is about 66332.5259883867. The cubic root of 4400004004 is about 1638.6430382560.

Adding to 4400004004 its reverse (4004000044), we get a palindrome (8404004048).

The spelling of 4400004004 in words is "four billion, four hundred million, four thousand, four".