204444201420342 has 96 divisors (see below), whose sum is σ = 481276739282976. Its totient is φ = 62346795033600.

The previous prime is 204444201420341. The next prime is 204444201420373. The reversal of 204444201420342 is 243024102444402.

204444201420342 is a `hidden beast` number, since 2 + 0 + 4 + 4 + 442 + 0 + 1 + 4 + 203 + 4 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 204444201420297 and 204444201420306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204444201420341) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 751107592 + ... + 751379732.

It is an arithmetic number, because the mean of its divisors is an integer number (5013299367531).

Almost surely, 2^{204444201420342} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204444201420342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240638369641488).

204444201420342 is an abundant number, since it is smaller than the sum of its proper divisors (276832537862634).

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

204444201420342 is a wasteful number, since it uses less digits than its factorization.

204444201420342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300686 (or 300683 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 36.

Adding to 204444201420342 its reverse (243024102444402), we get a palindrome (447468303864744).

The spelling of 204444201420342 in words is "two hundred four trillion, four hundred forty-four billion, two hundred one million, four hundred twenty thousand, three hundred forty-two".