204235040532402 has 144 divisors (see below), whose sum is σ = 508083839303040. Its totient is φ = 59135370053760.

The previous prime is 204235040532389. The next prime is 204235040532403.

204235040532402 is a `hidden beast` number, since 2 + 0 + 4 + 2 + 3 + 5 + 0 + 405 + 3 + 240 + 2 = 666.

204235040532402 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×204235040532402² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (204235040532403) 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, 44762499 + ... + 49113657.

It is an arithmetic number, because the mean of its divisors is an integer number (3528359995160).

Almost surely, 2^{204235040532402} is an apocalyptic number.

204235040532402 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 204235040532402, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254041919651520).

204235040532402 is an abundant number, since it is smaller than the sum of its proper divisors (303848798770638).

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

204235040532402 is a wasteful number, since it uses less digits than its factorization.

204235040532402 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4352149 (or 4352135 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 36.

The spelling of 204235040532402 in words is "two hundred four trillion, two hundred thirty-five billion, forty million, five hundred thirty-two thousand, four hundred two".