4004004444004 has 6 divisors (see below), whose sum is σ = 7007007777014. Its totient is φ = 2002002222000.

The previous prime is 4004004443963. The next prime is 4004004444059. The reversal of 4004004444004 is 4004444004004.

It can be written as a sum of positive squares in only one way, i.e., 3757790004004 + 246214440000 = 1938502^2 + 496200^2 .

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500500555497 + ... + 500500555504.

Almost surely, 2^{4004004444004} is an apocalyptic number.

It is an amenable number.

4004004444004 is a deficient number, since it is larger than the sum of its proper divisors (3003003333010).

4004004444004 is a wasteful number, since it uses less digits than its factorization.

4004004444004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1001001111005 (or 1001001111003 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 28.

Adding to 4004004444004 its reverse (4004444004004), we get a palindrome (8008448448008).

The spelling of 4004004444004 in words is "four trillion, four billion, four million, four hundred forty-four thousand, four".