204234434424400 has 60 divisors (see below), whose sum is σ = 499931214203772. Its totient is φ = 80152381803520.

The previous prime is 204234434424337. The next prime is 204234434424407. The reversal of 204234434424400 is 4424434432402.

204234434424400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 4726380352576 + 199508054071824 = 2174024^2 + 14124732^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204234434424407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4816828669 + ... + 4816871068.

Almost surely, 2^{204234434424400} is an apocalyptic number.

204234434424400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204234434424400 is an abundant number, since it is smaller than the sum of its proper divisors (295696779779372).

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

204234434424400 is a wasteful number, since it uses less digits than its factorization.

204234434424400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9633699808 (or 9633699797 counting only the distinct ones).

The product of its (nonzero) digits is 1179648, while the sum is 40.

Adding to 204234434424400 its reverse (4424434432402), we get a palindrome (208658868856802).

The spelling of 204234434424400 in words is "two hundred four trillion, two hundred thirty-four billion, four hundred thirty-four million, four hundred twenty-four thousand, four hundred".