4004123321 has 8 divisors (see below), whose sum is σ = 4469719584. Its totient is φ = 3555457920.

The previous prime is 4004123309. The next prime is 4004123359. The reversal of 4004123321 is 1233214004.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 4004123321 - 2⁶ = 4004123257 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 4004123293 and 4004123302.

It is not an unprimeable number, because it can be changed into a prime (4004123371) 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 7 ways as a sum of consecutive naturals, for example, 4232216 + ... + 4233161.

It is an arithmetic number, because the mean of its divisors is an integer number (558714948).

Almost surely, 2^4004123321 is an apocalyptic number.

It is an amenable number.

4004123321 is a deficient number, since it is larger than the sum of its proper divisors (465596263).

4004123321 is a wasteful number, since it uses less digits than its factorization.

4004123321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8465431.

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 4004123321 is about 63278.1425217270. The cubic root of 4004123321 is about 1587.9463116621.

Adding to 4004123321 its reverse (1233214004), we get a palindrome (5237337325).

The spelling of 4004123321 in words is "four billion, four million, one hundred twenty-three thousand, three hundred twenty-one".