4004211321 has 64 divisors (see below), whose sum is σ = 6648791040. Its totient is φ = 2361078720.

The previous prime is 4004211311. The next prime is 4004211329. The reversal of 4004211321 is 1231124004.

It is not a de Polignac number, because 4004211321 - 2⁹ = 4004210809 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 4004211294 and 4004211303.

It is not an unprimeable number, because it can be changed into a prime (4004211329) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1998106 + ... + 2000108.

It is an arithmetic number, because the mean of its divisors is an integer number (103887360).

Almost surely, 2^4004211321 is an apocalyptic number.

It is an amenable number.

4004211321 is a deficient number, since it is larger than the sum of its proper divisors (2644579719).

4004211321 is a wasteful number, since it uses less digits than its factorization.

4004211321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2203 (or 2197 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 4004211321 is about 63278.8378606940. The cubic root of 4004211321 is about 1587.9579445249.

Adding to 4004211321 its reverse (1231124004), we get a palindrome (5235335325).

The spelling of 4004211321 in words is "four billion, four million, two hundred eleven thousand, three hundred twenty-one".