204402242016 has 384 divisors, whose sum is σ = 702397301760. Its totient is φ = 56616247296.

The previous prime is 204402241963. The next prime is 204402242021. The reversal of 204402242016 is 610242204402.

204402242016 is a `hidden beast` number, since 2 + 0 + 4 + 402 + 242 + 0 + 16 = 666.

204402242016 is digitally balanced in base 3, 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 (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35625900 + ... + 35631636.

It is an arithmetic number, because the mean of its divisors is an integer number (1829159640).

Almost surely, 2^204402242016 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 204402242016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351198650880).

204402242016 is an abundant number, since it is smaller than the sum of its proper divisors (497995059744).

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

204402242016 is a wasteful number, since it uses less digits than its factorization.

204402242016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5943 (or 5929 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 204402242016 its reverse (610242204402), we get a palindrome (814644446418).

The spelling of 204402242016 in words is "two hundred four billion, four hundred two million, two hundred forty-two thousand, sixteen".