204440234320 has 480 divisors, whose sum is σ = 592477079040. Its totient is φ = 65271951360.

The previous prime is 204440234287. The next prime is 204440234333. The reversal of 204440234320 is 23432044402.

It is a happy number.

204440234320 is digitally balanced in base 2 and base 3, because in such bases 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 (28).

It is a congruent number.

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, 697748094 + ... + 697748386.

It is an arithmetic number, because the mean of its divisors is an integer number (1234327248).

Almost surely, 2^204440234320 is an apocalyptic number.

204440234320 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 204440234320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296238539520).

204440234320 is an abundant number, since it is smaller than the sum of its proper divisors (388036844720).

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

204440234320 is a wasteful number, since it uses less digits than its factorization.

204440234320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 28.

Adding to 204440234320 its reverse (23432044402), we get a palindrome (227872278722).

The spelling of 204440234320 in words is "two hundred four billion, four hundred forty million, two hundred thirty-four thousand, three hundred twenty".