4400004004004 has 72 divisors (see below), whose sum is σ = 8921324922048. Its totient is φ = 1860059900160.

The previous prime is 4400004003977. The next prime is 4400004004021. The reversal of 4400004004004 is 4004004000044.

4400004004004 is a modest number, since divided by 4004004 gives 4400 as remainder.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 93349187 + ... + 93396309.

It is an arithmetic number, because the mean of its divisors is an integer number (123907290584).

Almost surely, 2^{4400004004004} is an apocalyptic number.

It is an amenable number.

4400004004004 is an abundant number, since it is smaller than the sum of its proper divisors (4521320918044).

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

4400004004004 is a wasteful number, since it uses less digits than its factorization.

4400004004004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47733 (or 47642 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

Adding to 4400004004004 its reverse (4004004000044), we get a palindrome (8404008004048).

The spelling of 4400004004004 in words is "four trillion, four hundred billion, four million, four thousand, four".