204021430400 has 48 divisors (see below), whose sum is σ = 503996697690. Its totient is φ = 81608570880.

The previous prime is 204021430357. The next prime is 204021430423. The reversal of 204021430400 is 4034120402.

It can be written as a sum of positive squares in 3 ways, for example, as 93249615424 + 110771814976 = 305368^2 + 332824^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 31875149 + ... + 31881548.

Almost surely, 2^204021430400 is an apocalyptic number.

204021430400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204021430400 is an abundant number, since it is smaller than the sum of its proper divisors (299975267290).

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

204021430400 is an equidigital number, since it uses as much as digits as its factorization.

204021430400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63756721 (or 63756704 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 204021430400 its reverse (4034120402), we get a palindrome (208055550802).

The spelling of 204021430400 in words is "two hundred four billion, twenty-one million, four hundred thirty thousand, four hundred".