204042142432 has 192 divisors, whose sum is σ = 441722211840. Its totient is φ = 92461824000.

The previous prime is 204042142427. The next prime is 204042142433. The reversal of 204042142432 is 234241240402.

It is a self number, because there is not a number n which added to its sum of digits gives 204042142432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204042142433) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 231077863 + ... + 231078745.

It is an arithmetic number, because the mean of its divisors is an integer number (2300636520).

Almost surely, 2^204042142432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204042142432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220861105920).

204042142432 is an abundant number, since it is smaller than the sum of its proper divisors (237680069408).

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

204042142432 is a wasteful number, since it uses less digits than its factorization.

204042142432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1137 (or 1129 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 204042142432 its reverse (234241240402), we get a palindrome (438283382834).

The spelling of 204042142432 in words is "two hundred four billion, forty-two million, one hundred forty-two thousand, four hundred thirty-two".