204142464032 has 96 divisors (see below), whose sum is σ = 435970483200. Its totient is φ = 93536529408.

The previous prime is 204142464011. The next prime is 204142464089. The reversal of 204142464032 is 230464241402.

204142464032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 204142464032.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34958969 + ... + 34964807.

It is an arithmetic number, because the mean of its divisors is an integer number (4541359200).

Almost surely, 2^204142464032 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 204142464032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217985241600).

204142464032 is an abundant number, since it is smaller than the sum of its proper divisors (231828019168).

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

204142464032 is a wasteful number, since it uses less digits than its factorization.

204142464032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6458 (or 6450 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

The spelling of 204142464032 in words is "two hundred four billion, one hundred forty-two million, four hundred sixty-four thousand, thirty-two".