204412431200 has 72 divisors (see below), whose sum is σ = 499389568272. Its totient is φ = 81704721920.

The previous prime is 204412431193. The next prime is 204412431239. The reversal of 204412431200 is 2134214402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1000142 + ... + 1187058.

It is an arithmetic number, because the mean of its divisors is an integer number (6935966226).

Almost surely, 2^204412431200 is an apocalyptic number.

204412431200 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 204412431200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249694784136).

204412431200 is an abundant number, since it is smaller than the sum of its proper divisors (294977137072).

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

204412431200 is a wasteful number, since it uses less digits than its factorization.

204412431200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188304 (or 188291 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 204412431200 its reverse (2134214402), we get a palindrome (206546645602).

The spelling of 204412431200 in words is "two hundred four billion, four hundred twelve million, four hundred thirty-one thousand, two hundred".