204114424000 has 224 divisors, whose sum is σ = 515511726912. Its totient is φ = 80040960000.

The previous prime is 204114423971. The next prime is 204114424057. The reversal of 204114424000 is 424411402.

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 31 ways as a sum of consecutive naturals, for example, 105703035 + ... + 105704965.

It is an arithmetic number, because the mean of its divisors is an integer number (2301391638).

Almost surely, 2^204114424000 is an apocalyptic number.

204114424000 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 204114424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257755863456).

204114424000 is an abundant number, since it is smaller than the sum of its proper divisors (311397302912).

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

204114424000 is a wasteful number, since it uses less digits than its factorization.

204114424000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2212 (or 2192 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

Adding to 204114424000 its reverse (424411402), we get a palindrome (204538835402).

The spelling of 204114424000 in words is "two hundred four billion, one hundred fourteen million, four hundred twenty-four thousand".