211142320441 has 16 divisors (see below), whose sum is σ = 230070476944. Its totient is φ = 192603930624.

The previous prime is 211142320409. The next prime is 211142320453. The reversal of 211142320441 is 144023241112.

It can be written as a sum of positive squares in 8 ways, for example, as 640292416 + 210502028025 = 25304^2 + 458805^2 .

It is a cyclic number.

It is not a de Polignac number, because 211142320441 - 2⁵ = 211142320409 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (211142320241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 724255 + ... + 973051.

It is an arithmetic number, because the mean of its divisors is an integer number (14379404809).

Almost surely, 2^211142320441 is an apocalyptic number.

It is an amenable number.

211142320441 is a deficient number, since it is larger than the sum of its proper divisors (18928156503).

211142320441 is a wasteful number, since it uses less digits than its factorization.

211142320441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249580.

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 211142320441 its reverse (144023241112), we get a palindrome (355165561553).

The spelling of 211142320441 in words is "two hundred eleven billion, one hundred forty-two million, three hundred twenty thousand, four hundred forty-one".