205324441420240 has 20 divisors (see below), whose sum is σ = 477379326302244. Its totient is φ = 82129776568064.

The previous prime is 205324441420207. The next prime is 205324441420277. The reversal of 205324441420240 is 42024144423502.

It can be written as a sum of positive squares in 2 ways, for example, as 113384418796944 + 91940022623296 = 10648212^2 + 9588536^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a self number, because there is not a number n which added to its sum of digits gives 205324441420240.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1283277758797 + ... + 1283277758956.

Almost surely, 2^{205324441420240} is an apocalyptic number.

205324441420240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205324441420240 is an abundant number, since it is smaller than the sum of its proper divisors (272054884882004).

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

205324441420240 is a wasteful number, since it uses less digits than its factorization.

205324441420240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2566555517766 (or 2566555517760 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 37.

Adding to 205324441420240 its reverse (42024144423502), we get a palindrome (247348585843742).

The spelling of 205324441420240 in words is "two hundred five trillion, three hundred twenty-four billion, four hundred forty-one million, four hundred twenty thousand, two hundred forty".