204213144400 has 240 divisors, whose sum is σ = 509700377088. Its totient is φ = 78575104000.

The previous prime is 204213144391. The next prime is 204213144437. The reversal of 204213144400 is 4441312402.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 473812185 + ... + 473812615.

Almost surely, 2^204213144400 is an apocalyptic number.

204213144400 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 204213144400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254850188544).

204213144400 is an abundant number, since it is smaller than the sum of its proper divisors (305487232688).

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

204213144400 is a wasteful number, since it uses less digits than its factorization.

204213144400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 830 (or 819 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 204213144400 its reverse (4441312402), we get a palindrome (208654456802).

The spelling of 204213144400 in words is "two hundred four billion, two hundred thirteen million, one hundred forty-four thousand, four hundred".