4004031204 has 60 divisors (see below), whose sum is σ = 10473707244. Its totient is φ = 1333863936.

The previous prime is 4004031203. The next prime is 4004031293. The reversal of 4004031204 is 4021304004.

It can be written as a sum of positive squares in 2 ways, for example, as 1874024100 + 2130007104 = 43290^2 + 46152^2 .

It is a super-3 number, since 3×4004031204³ (a number of 30 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (4004031203) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 780552 + ... + 785664.

Almost surely, 2^4004031204 is an apocalyptic number.

It is an amenable number.

4004031204 is an abundant number, since it is smaller than the sum of its proper divisors (6469676040).

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

4004031204 is a wasteful number, since it uses less digits than its factorization.

4004031204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7546 (or 7535 counting only the distinct ones).

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

The square root of 4004031204 is about 63277.4146437732. The cubic root of 4004031204 is about 1587.9341343838.

Adding to 4004031204 its reverse (4021304004), we get a palindrome (8025335208).

The spelling of 4004031204 in words is "four billion, four million, thirty-one thousand, two hundred four".