4040004004 has 48 divisors (see below), whose sum is σ = 7563806208. Its totient is φ = 1883680128.

The previous prime is 4040003977. The next prime is 4040004037. The reversal of 4040004004 is 4004000404.

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, 1196062 + ... + 1199434.

It is an arithmetic number, because the mean of its divisors is an integer number (157579296).

Almost surely, 2^4040004004 is an apocalyptic number.

It is an amenable number.

4040004004 is a deficient number, since it is larger than the sum of its proper divisors (3523802204).

4040004004 is a wasteful number, since it uses less digits than its factorization.

4040004004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3724 (or 3722 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 4040004004 is about 63561.0258255796. The cubic root of 4040004004 is about 1592.6753745186.

Adding to 4040004004 its reverse (4004000404), we get a palindrome (8044004408).

It can be divided in two parts, 404000400 and 4, that added together give a palindrome (404000404).

The spelling of 4040004004 in words is "four billion, forty million, four thousand, four", and thus it is an eban number.