205120230444 has 240 divisors, whose sum is σ = 558979669248. Its totient is φ = 65534977152.

The previous prime is 205120230443. The next prime is 205120230449. The reversal of 205120230444 is 444032021502.

205120230444 is a `hidden beast` number, since 205 + 12 + 0 + 2 + 3 + 0 + 444 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (205120230443) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 349437919 + ... + 349438505.

Almost surely, 2^205120230444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205120230444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279489834624).

205120230444 is an abundant number, since it is smaller than the sum of its proper divisors (353859438804).

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

205120230444 is a wasteful number, since it uses less digits than its factorization.

205120230444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1026 (or 1015 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 205120230444 its reverse (444032021502), we get a palindrome (649152251946).

The spelling of 205120230444 in words is "two hundred five billion, one hundred twenty million, two hundred thirty thousand, four hundred forty-four".