204242042400 has 576 divisors, whose sum is σ = 777316248576. Its totient is φ = 46075392000.

The previous prime is 204242042399. The next prime is 204242042419. The reversal of 204242042400 is 4240242402.

204242042400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 95 ways as a sum of consecutive naturals, for example, 22461855 + ... + 22470945.

It is an arithmetic number, because the mean of its divisors is an integer number (1349507376).

Almost surely, 2^204242042400 is an apocalyptic number.

204242042400 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 204242042400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388658124288).

204242042400 is an abundant number, since it is smaller than the sum of its proper divisors (573074206176).

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

204242042400 is a wasteful number, since it uses less digits than its factorization.

204242042400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9185 (or 9172 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

Adding to 204242042400 its reverse (4240242402), we get a palindrome (208482284802).

It can be divided in two parts, 20424 and 2042400, that multiplied together give a square (41713977600 = 204240²).

The spelling of 204242042400 in words is "two hundred four billion, two hundred forty-two million, forty-two thousand, four hundred".