204244242400 has 144 divisors (see below), whose sum is σ = 575936418960. Its totient is φ = 69901721600.

The previous prime is 204244242341. The next prime is 204244242407. The reversal of 204244242400 is 4242442402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204244242407) 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, 533035 + ... + 832234.

It is an arithmetic number, because the mean of its divisors is an integer number (3999558465).

Almost surely, 2^204244242400 is an apocalyptic number.

204244242400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204244242400 is an abundant number, since it is smaller than the sum of its proper divisors (371692176560).

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

204244242400 is a wasteful number, since it uses less digits than its factorization.

204244242400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1365317 (or 1365304 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 28.

Adding to 204244242400 its reverse (4242442402), we get a palindrome (208486684802).

It can be divided in two parts, 204244 and 242400, that added together give a palindrome (446644).

The spelling of 204244242400 in words is "two hundred four billion, two hundred forty-four million, two hundred forty-two thousand, four hundred".