4400400004004 has 6 divisors (see below), whose sum is σ = 7700700007014. Its totient is φ = 2200200002000.

The previous prime is 4400400004001. The next prime is 4400400004073. The reversal of 4400400004004 is 4004000040044.

It can be written as a sum of positive squares in only one way, i.e., 4283442843904 + 116957160100 = 2069648^2 + 341990^2 .

It is not an unprimeable number, because it can be changed into a prime (4400400004001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 550050000497 + ... + 550050000504.

It is an arithmetic number, because the mean of its divisors is an integer number (1283450001169).

Almost surely, 2^{4400400004004} is an apocalyptic number.

It is an amenable number.

4400400004004 is a deficient number, since it is larger than the sum of its proper divisors (3300300003010).

4400400004004 is a wasteful number, since it uses less digits than its factorization.

4400400004004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1100100001005 (or 1100100001003 counting only the distinct ones).

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

Adding to 4400400004004 its reverse (4004000040044), we get a palindrome (8404400044048).

The spelling of 4400400004004 in words is "four trillion, four hundred billion, four hundred million, four thousand, four".