204201014000 has 160 divisors (see below), whose sum is σ = 499591452672. Its totient is φ = 80720640000.

The previous prime is 204201013997. The next prime is 204201014009. The reversal of 204201014000 is 410102402.

204201014000 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 not an unprimeable number, because it can be changed into a prime (204201014009) 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 31 ways as a sum of consecutive naturals, for example, 71372570 + ... + 71375430.

Almost surely, 2^204201014000 is an apocalyptic number.

204201014000 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 204201014000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249795726336).

204201014000 is an abundant number, since it is smaller than the sum of its proper divisors (295390438672).

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

204201014000 is a wasteful number, since it uses less digits than its factorization.

204201014000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3292 (or 3276 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 204201014000 its reverse (410102402), we get a palindrome (204611116402).

The spelling of 204201014000 in words is "two hundred four billion, two hundred one million, fourteen thousand".