204040042014300 has 144 divisors (see below), whose sum is σ = 621474583080960. Its totient is φ = 51543028892160.

The previous prime is 204040042014271. The next prime is 204040042014311. The reversal of 204040042014300 is 3410240040402.

It is a happy number.

204040042014300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 73785424 + ... + 76500776.

It is an arithmetic number, because the mean of its divisors is an integer number (4315795715840).

Almost surely, 2^{204040042014300} is an apocalyptic number.

204040042014300 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 204040042014300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310737291540480).

204040042014300 is an abundant number, since it is smaller than the sum of its proper divisors (417434541066660).

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

204040042014300 is a wasteful number, since it uses less digits than its factorization.

204040042014300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2728572 (or 2728565 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 204040042014300 its reverse (3410240040402), we get a palindrome (207450282054702).

The spelling of 204040042014300 in words is "two hundred four trillion, forty billion, forty-two million, fourteen thousand, three hundred".