204432243112400 has 120 divisors (see below), whose sum is σ = 496823356221720. Its totient is φ = 80831946424320.

The previous prime is 204432243112387. The next prime is 204432243112403. The reversal of 204432243112400 is 4211342234402.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 172298491567504 + 32133751544896 = 13126252^2 + 5668664^2 .

It is a super-3 number, since 3×204432243112400³ (a number of 44 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204432243112403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10796816 + ... + 22922384.

It is an arithmetic number, because the mean of its divisors is an integer number (4140194635181).

Almost surely, 2^{204432243112400} is an apocalyptic number.

204432243112400 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 204432243112400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248411678110860).

204432243112400 is an abundant number, since it is smaller than the sum of its proper divisors (292391113109320).

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

204432243112400 is a wasteful number, since it uses less digits than its factorization.

204432243112400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12126073 (or 12126062 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 204432243112400 its reverse (4211342234402), we get a palindrome (208643585346802).

The spelling of 204432243112400 in words is "two hundred four trillion, four hundred thirty-two billion, two hundred forty-three million, one hundred twelve thousand, four hundred".