204441342400 has 42 divisors (see below), whose sum is σ = 503053482080. Its totient is φ = 81776536320.

The previous prime is 204441342397. The next prime is 204441342439. The reversal of 204441342400 is 4243144402.

204441342400 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 63886320 + ... + 63889519.

Almost surely, 2^204441342400 is an apocalyptic number.

204441342400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204441342400 is an abundant number, since it is smaller than the sum of its proper divisors (298612139680).

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

204441342400 is a wasteful number, since it uses less digits than its factorization.

204441342400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127775861 (or 127775846 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 204441342400 its reverse (4243144402), we get a palindrome (208684486802).

The spelling of 204441342400 in words is "two hundred four billion, four hundred forty-one million, three hundred forty-two thousand, four hundred".