204441221400 has 384 divisors, whose sum is σ = 725803545600. Its totient is φ = 47158272000.

The previous prime is 204441221399. The next prime is 204441221423. The reversal of 204441221400 is 4122144402.

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 95 ways as a sum of consecutive naturals, for example, 31688175 + ... + 31694625.

It is an arithmetic number, because the mean of its divisors is an integer number (1890113400).

Almost surely, 2^204441221400 is an apocalyptic number.

204441221400 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 204441221400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362901772800).

204441221400 is an abundant number, since it is smaller than the sum of its proper divisors (521362324200).

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

204441221400 is a wasteful number, since it uses less digits than its factorization.

204441221400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6739 (or 6730 counting only the distinct ones).

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

Adding to 204441221400 its reverse (4122144402), we get a palindrome (208563365802).

The spelling of 204441221400 in words is "two hundred four billion, four hundred forty-one million, two hundred twenty-one thousand, four hundred".