4004040321 has 24 divisors (see below), whose sum is σ = 5977310976. Its totient is φ = 2580167520.

The previous prime is 4004040317. The next prime is 4004040323. The reversal of 4004040321 is 1230404004.

4004040321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 4004040321 - 2² = 4004040317 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 4004040294 and 4004040303.

It is not an unprimeable number, because it can be changed into a prime (4004040323) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 238231 + ... + 254483.

It is an arithmetic number, because the mean of its divisors is an integer number (249054624).

Almost surely, 2^4004040321 is an apocalyptic number.

It is an amenable number.

4004040321 is a deficient number, since it is larger than the sum of its proper divisors (1973270655).

4004040321 is a wasteful number, since it uses less digits than its factorization.

4004040321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17173 (or 17170 counting only the distinct ones).

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

The square root of 4004040321 is about 63277.4866836539. The cubic root of 4004040321 is about 1587.9353396012.

Adding to 4004040321 its reverse (1230404004), we get a palindrome (5234444325).

The spelling of 4004040321 in words is "four billion, four million, forty thousand, three hundred twenty-one".