4004000604 has 36 divisors (see below), whose sum is σ = 10143806400. Its totient is φ = 1331688960.

The previous prime is 4004000597. The next prime is 4004000617. The reversal of 4004000604 is 4060004004.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 107692 + ... + 140019.

It is an arithmetic number, because the mean of its divisors is an integer number (281772400).

Almost surely, 2^4004000604 is an apocalyptic number.

It is an amenable number.

4004000604 is an abundant number, since it is smaller than the sum of its proper divisors (6139805796).

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

4004000604 is a wasteful number, since it uses less digits than its factorization.

4004000604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248170 (or 248165 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 4004000604 is about 63277.1728508789. The cubic root of 4004000604 is about 1587.9300892182.

Adding to 4004000604 its reverse (4060004004), we get a palindrome (8064004608).

It can be divided in two parts, 400 and 4000604, that added together give a palindrome (4001004).

The spelling of 4004000604 in words is "four billion, four million, six hundred four", and thus it is an aban number.