204240400000 has 768 divisors, whose sum is σ = 649698416640. Its totient is φ = 62208000000.

The previous prime is 204240399997. The next prime is 204240400037. The reversal of 204240400000 is 4042402.

204240400000 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 (16).

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, 1128399910 + ... + 1128400090.

It is an arithmetic number, because the mean of its divisors is an integer number (845961480).

Almost surely, 2^204240400000 is an apocalyptic number.

204240400000 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 204240400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324849208320).

204240400000 is an abundant number, since it is smaller than the sum of its proper divisors (445458016640).

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

204240400000 is an equidigital number, since it uses as much as digits as its factorization.

204240400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

Adding to 204240400000 its reverse (4042402), we get a palindrome (204244442402).

The spelling of 204240400000 in words is "two hundred four billion, two hundred forty million, four hundred thousand".