204001414240200 has 384 divisors, whose sum is σ = 678835101772800. Its totient is φ = 50497461780480.

The previous prime is 204001414240193. The next prime is 204001414240207. The reversal of 204001414240200 is 2042414100402.

It is an interprime number because it is at equal distance from previous prime (204001414240193) and next prime (204001414240207).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (204001414240207) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 360113577 + ... + 360679623.

It is an arithmetic number, because the mean of its divisors is an integer number (1767799744200).

Almost surely, 2^{204001414240200} is an apocalyptic number.

204001414240200 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 204001414240200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339417550886400).

204001414240200 is an abundant number, since it is smaller than the sum of its proper divisors (474833687532600).

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

204001414240200 is a wasteful number, since it uses less digits than its factorization.

204001414240200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566569 (or 566560 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 204001414240200 its reverse (2042414100402), we get a palindrome (206043828340602).

The spelling of 204001414240200 in words is "two hundred four trillion, one billion, four hundred fourteen million, two hundred forty thousand, two hundred".