204004432242 has 144 divisors (see below), whose sum is σ = 483141099168. Its totient is φ = 62181250560.

The previous prime is 204004432231. The next prime is 204004432249. The reversal of 204004432242 is 242234400402.

204004432242 is a `hidden beast` number, since 204 + 0 + 0 + 4 + 432 + 24 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (204004432249) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 231559642 + ... + 231560522.

It is an arithmetic number, because the mean of its divisors is an integer number (3355146522).

Almost surely, 2^204004432242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204004432242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241570549584).

204004432242 is an abundant number, since it is smaller than the sum of its proper divisors (279136666926).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

204004432242 is a wasteful number, since it uses less digits than its factorization.

204004432242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1545 (or 1529 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 27.

Adding to 204004432242 its reverse (242234400402), we get a palindrome (446238832644).

The spelling of 204004432242 in words is "two hundred four billion, four million, four hundred thirty-two thousand, two hundred forty-two".