204420132200032 has 192 divisors, whose sum is σ = 480486748815360. Its totient is φ = 83704664203776.

The previous prime is 204420132200021. The next prime is 204420132200047. The reversal of 204420132200032 is 230002231024402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19214218969 + ... + 19214229607.

It is an arithmetic number, because the mean of its divisors is an integer number (2502535150080).

Almost surely, 2^{204420132200032} 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 204420132200032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240243374407680).

204420132200032 is an abundant number, since it is smaller than the sum of its proper divisors (276066616615328).

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

204420132200032 is a wasteful number, since it uses less digits than its factorization.

204420132200032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14553 (or 14545 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 204420132200032 its reverse (230002231024402), we get a palindrome (434422363224434).

The spelling of 204420132200032 in words is "two hundred four trillion, four hundred twenty billion, one hundred thirty-two million, two hundred thousand, thirty-two".