204441024010200 has 192 divisors, whose sum is σ = 638933960847360. Its totient is φ = 54073388920320.

The previous prime is 204441024010183. The next prime is 204441024010231. The reversal of 204441024010200 is 2010420144402.

204441024010200 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×204441024010200² (a number of 29 digits) contains 22 as substring.

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

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, 276770559 + ... + 277508241.

It is an arithmetic number, because the mean of its divisors is an integer number (3327781046080).

Almost surely, 2^{204441024010200} is an apocalyptic number.

204441024010200 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 204441024010200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319466980423680).

204441024010200 is an abundant number, since it is smaller than the sum of its proper divisors (434492936837160).

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

204441024010200 is a wasteful number, since it uses less digits than its factorization.

204441024010200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 741466 (or 741457 counting only the distinct ones).

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

Adding to 204441024010200 its reverse (2010420144402), we get a palindrome (206451444154602).

The spelling of 204441024010200 in words is "two hundred four trillion, four hundred forty-one billion, twenty-four million, ten thousand, two hundred".