204004020420200 has 768 divisors, whose sum is σ = 662742781747200. Its totient is φ = 56330904268800.

The previous prime is 204004020420127. The next prime is 204004020420209. The reversal of 204004020420200 is 2024020400402.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (204004020420209) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 969463397 + ... + 969673803.

It is an arithmetic number, because the mean of its divisors is an integer number (862946330400).

Almost surely, 2^{204004020420200} is an apocalyptic number.

204004020420200 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 204004020420200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331371390873600).

204004020420200 is an abundant number, since it is smaller than the sum of its proper divisors (458738761327000).

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

204004020420200 is a wasteful number, since it uses less digits than its factorization.

204004020420200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210650 (or 210641 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

Adding to 204004020420200 its reverse (2024020400402), we get a palindrome (206028040820602).

The spelling of 204004020420200 in words is "two hundred four trillion, four billion, twenty million, four hundred twenty thousand, two hundred".