204344424410000 has 400 divisors, whose sum is σ = 574435221888000. Its totient is φ = 68951907072000.

The previous prime is 204344424409981. The next prime is 204344424410041. The reversal of 204344424410000 is 14424443402.

It is a tau number, because it is divible by the number of its divisors (400).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1136780129 + ... + 1136959871.

It is an arithmetic number, because the mean of its divisors is an integer number (1436088054720).

Almost surely, 2^{204344424410000} is an apocalyptic number.

204344424410000 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 204344424410000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287217610944000).

204344424410000 is an abundant number, since it is smaller than the sum of its proper divisors (370090797478000).

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

204344424410000 is a wasteful number, since it uses less digits than its factorization.

204344424410000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180036 (or 180015 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 32.

Adding to 204344424410000 its reverse (14424443402), we get a palindrome (204358848853402).

The spelling of 204344424410000 in words is "two hundred four trillion, three hundred forty-four billion, four hundred twenty-four million, four hundred ten thousand".