220432331441 has 12 divisors (see below), whose sum is σ = 259302426660. Its totient is φ = 186819050880.

The previous prime is 220432331419. The next prime is 220432331477. The reversal of 220432331441 is 144133234022.

220432331441 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 80035239025 + 140397092416 = 282905^2 + 374696^2 .

It is not a de Polignac number, because 220432331441 - 2¹⁴ = 220432315057 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (220432336441) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 25268780 + ... + 25277501.

It is an arithmetic number, because the mean of its divisors is an integer number (21608535555).

Almost surely, 2^220432331441 is an apocalyptic number.

It is an amenable number.

220432331441 is a deficient number, since it is larger than the sum of its proper divisors (38870095219).

220432331441 is an equidigital number, since it uses as much as digits as its factorization.

220432331441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50546384 (or 50546377 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 220432331441 its reverse (144133234022), we get a palindrome (364565565463).

The spelling of 220432331441 in words is "two hundred twenty billion, four hundred thirty-two million, three hundred thirty-one thousand, four hundred forty-one".