204242342414240 has 48 divisors (see below), whose sum is σ = 519639651955368. Its totient is φ = 75412557198336.

The previous prime is 204242342414203. The next prime is 204242342414311. The reversal of 204242342414240 is 42414243242402.

It can be written as a sum of positive squares in 4 ways, for example, as 110829266892304 + 93413075521936 = 10527548^2 + 9665044^2 .

It is a junction number, because it is equal to n+sod(n) for n = 204242342414194 and 204242342414203.

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 7 ways as a sum of consecutive naturals, for example, 49096714847 + ... + 49096719006.

Almost surely, 2^{204242342414240} is an apocalyptic number.

204242342414240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204242342414240 is an abundant number, since it is smaller than the sum of its proper divisors (315397309541128).

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

204242342414240 is a wasteful number, since it uses less digits than its factorization.

204242342414240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98193433881 (or 98193433873 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 38.

Adding to 204242342414240 its reverse (42414243242402), we get a palindrome (246656585656642).

The spelling of 204242342414240 in words is "two hundred four trillion, two hundred forty-two billion, three hundred forty-two million, four hundred fourteen thousand, two hundred forty".