204014001433242 has 256 divisors, whose sum is σ = 559076384563200. Its totient is φ = 48909708288000.

The previous prime is 204014001433241. The next prime is 204014001433259. The reversal of 204014001433242 is 242334100410402.

204014001433242 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (204014001433241) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3750161242 + ... + 3750215642.

It is an arithmetic number, because the mean of its divisors is an integer number (2183892127200).

Almost surely, 2^{204014001433242} is an apocalyptic number.

204014001433242 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 204014001433242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279538192281600).

204014001433242 is an abundant number, since it is smaller than the sum of its proper divisors (355062383129958).

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

204014001433242 is a wasteful number, since it uses less digits than its factorization.

204014001433242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67194 (or 67180 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 204014001433242 its reverse (242334100410402), we get a palindrome (446348101843644).

The spelling of 204014001433242 in words is "two hundred four trillion, fourteen billion, one million, four hundred thirty-three thousand, two hundred forty-two".