4404004004000 has 48 divisors (see below), whose sum is σ = 10820637847656. Its totient is φ = 1761601600000.

The previous prime is 4404004003979. The next prime is 4404004004053. The reversal of 4404004004000 is 4004004044.

It can be written as a sum of positive squares in 4 ways, for example, as 2902702727824 + 1501301276176 = 1703732^2 + 1225276^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 550496501 + ... + 550504500.

Almost surely, 2^{4404004004000} is an apocalyptic number.

4404004004000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4404004004000 is an abundant number, since it is smaller than the sum of its proper divisors (6416633843656).

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

4404004004000 is a wasteful number, since it uses less digits than its factorization.

4404004004000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1101001026 (or 1101001008 counting only the distinct ones).

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

Adding to 4404004004000 its reverse (4004004044), we get a palindrome (4408008008044).

The spelling of 4404004004000 in words is "four trillion, four hundred four billion, four million, four thousand".