204122443440 has 160 divisors (see below), whose sum is σ = 636355270656. Its totient is φ = 54125660160.

The previous prime is 204122443379. The next prime is 204122443457. The reversal of 204122443440 is 44344221402.

204122443440 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 (30).

It is a junction number, because it is equal to n+sod(n) for n = 204122443398 and 204122443407.

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 31 ways as a sum of consecutive naturals, for example, 62670292 + ... + 62673548.

Almost surely, 2^204122443440 is an apocalyptic number.

204122443440 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 204122443440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318177635328).

204122443440 is an abundant number, since it is smaller than the sum of its proper divisors (432232827216).

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

204122443440 is a wasteful number, since it uses less digits than its factorization.

204122443440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4667 (or 4661 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 30.

Adding to 204122443440 its reverse (44344221402), we get a palindrome (248466664842).

The spelling of 204122443440 in words is "two hundred four billion, one hundred twenty-two million, four hundred forty-three thousand, four hundred forty".