204200200400 has 120 divisors (see below), whose sum is σ = 562293862080. Its totient is φ = 69809402880.

The previous prime is 204200200361. The next prime is 204200200433. The reversal of 204200200400 is 4002002402.

It is a happy number.

204200200400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 866516 + ... + 1076684.

It is an arithmetic number, because the mean of its divisors is an integer number (4685782184).

Almost surely, 2^204200200400 is an apocalyptic number.

204200200400 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 204200200400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281146931040).

204200200400 is an abundant number, since it is smaller than the sum of its proper divisors (358093661680).

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

204200200400 is a wasteful number, since it uses less digits than its factorization.

204200200400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210541 (or 210530 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 14.

Adding to 204200200400 its reverse (4002002402), we get a palindrome (208202202802).

The spelling of 204200200400 in words is "two hundred four billion, two hundred million, two hundred thousand, four hundred".