204242013314240 has 224 divisors, whose sum is σ = 533500204584960. Its totient is φ = 73859182387200.

The previous prime is 204242013314231. The next prime is 204242013314347. The reversal of 204242013314240 is 42413310242402.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 204242013314197 and 204242013314206.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2372574239 + ... + 2372660321.

Almost surely, 2^{204242013314240} is an apocalyptic number.

204242013314240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204242013314240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266750102292480).

204242013314240 is an abundant number, since it is smaller than the sum of its proper divisors (329258191270720).

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

204242013314240 is a wasteful number, since it uses less digits than its factorization.

204242013314240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89831 (or 89821 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 204242013314240 its reverse (42413310242402), we get a palindrome (246655323556642).

The spelling of 204242013314240 in words is "two hundred four trillion, two hundred forty-two billion, thirteen million, three hundred fourteen thousand, two hundred forty".