205441341200 has 60 divisors (see below), whose sum is σ = 493619821860. Its totient is φ = 82168711680.

The previous prime is 205441341169. The next prime is 205441341241. The reversal of 205441341200 is 2143144502.

205441341200 is digitally balanced in base 3, 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 6 ways, for example, as 34637676544 + 170803664656 = 186112^2 + 413284^2 .

It is a super-2 number, since 2×205441341200² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 205441341200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6090782 + ... + 6124418.

It is an arithmetic number, because the mean of its divisors is an integer number (8226997031).

Almost surely, 2^205441341200 is an apocalyptic number.

205441341200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

205441341200 is an abundant number, since it is smaller than the sum of its proper divisors (288178480660).

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

205441341200 is a wasteful number, since it uses less digits than its factorization.

205441341200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48924 (or 48913 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

Adding to 205441341200 its reverse (2143144502), we get a palindrome (207584485702).

The spelling of 205441341200 in words is "two hundred five billion, four hundred forty-one million, three hundred forty-one thousand, two hundred".