204442400000000 has 864 divisors, whose sum is σ = 548217844312320. Its totient is φ = 76032000000000.

The previous prime is 204442399999951. The next prime is 204442400000051. The reversal of 204442400000000 is 4244402.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 754399999865 + ... + 754400000135.

It is an arithmetic number, because the mean of its divisors is an integer number (634511393880).

Almost surely, 2^{204442400000000} is an apocalyptic number.

204442400000000 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 204442400000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274108922156160).

204442400000000 is an abundant number, since it is smaller than the sum of its proper divisors (343775444312320).

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

204442400000000 is an frugal number, since it uses more digits than its factorization.

204442400000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

Adding to 204442400000000 its reverse (4244402), we get a palindrome (204442404244402).

The spelling of 204442400000000 in words is "two hundred four trillion, four hundred forty-two billion, four hundred million", and thus it is an aban number.