4004413221 has 8 divisors (see below), whose sum is σ = 5353159680. Its totient is φ = 2662637792.

The previous prime is 4004413169. The next prime is 4004413241. The reversal of 4004413221 is 1223144004.

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 4004413221 - 2¹⁸ = 4004151077 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4004413241) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1741416 + ... + 1743713.

It is an arithmetic number, because the mean of its divisors is an integer number (669144960).

Almost surely, 2^4004413221 is an apocalyptic number.

It is an amenable number.

4004413221 is a deficient number, since it is larger than the sum of its proper divisors (1348746459).

4004413221 is a wasteful number, since it uses less digits than its factorization.

4004413221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3485515.

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 4004413221 is about 63280.4331606540. The cubic root of 4004413221 is about 1587.9846333695.

Adding to 4004413221 its reverse (1223144004), we get a palindrome (5227557225).

The spelling of 4004413221 in words is "four billion, four million, four hundred thirteen thousand, two hundred twenty-one".