4040404004004 has 48 divisors (see below), whose sum is σ = 9990402072000. Its totient is φ = 1267353841536.

The previous prime is 4040404003997. The next prime is 4040404004011. The reversal of 4040404004004 is 4004004040404.

It is an interprime number because it is at equal distance from previous prime (4040404003997) and next prime (4040404004011).

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, 59432707 + ... + 59500650.

It is an arithmetic number, because the mean of its divisors is an integer number (208133376500).

Almost surely, 2^{4040404004004} is an apocalyptic number.

It is an amenable number.

4040404004004 is an abundant number, since it is smaller than the sum of its proper divisors (5949998067996).

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

4040404004004 is a wasteful number, since it uses less digits than its factorization.

4040404004004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118933532 (or 118933530 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

Adding to 4040404004004 its reverse (4004004040404), we get a palindrome (8044408044408).

It can be divided in two parts, 404040 and 4004004, that added together give a palindrome (4408044).

The spelling of 4040404004004 in words is "four trillion, forty billion, four hundred four million, four thousand, four".