2004413332221 has 16 divisors (see below), whose sum is σ = 2969602701120. Its totient is φ = 1336229894160.

The previous prime is 2004413332213. The next prime is 2004413332223. The reversal of 2004413332221 is 1222333144002.

2004413332221 is a `hidden beast` number, since 20 + 0 + 4 + 413 + 3 + 3 + 2 + 221 = 666.

It is not a de Polignac number, because 2004413332221 - 2³ = 2004413332213 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2004413332223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 454050 + ... + 2053043.

It is an arithmetic number, because the mean of its divisors is an integer number (185600168820).

Almost surely, 2^{2004413332221} is an apocalyptic number.

It is an amenable number.

2004413332221 is a deficient number, since it is larger than the sum of its proper divisors (965189368899).

2004413332221 is a wasteful number, since it uses less digits than its factorization.

2004413332221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2536713 (or 2536707 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 2004413332221 its reverse (1222333144002), we get a palindrome (3226746476223).

The spelling of 2004413332221 in words is "two trillion, four billion, four hundred thirteen million, three hundred thirty-two thousand, two hundred twenty-one".