211441330420 has 24 divisors (see below), whose sum is σ = 454856717448. Its totient is φ = 82513689600.

The previous prime is 211441330409. The next prime is 211441330433. The reversal of 211441330420 is 24033144112.

211441330420 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 4 ways, for example, as 24615099664 + 186826230756 = 156892^2 + 432234^2 .

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 128926821 + ... + 128928460.

It is an arithmetic number, because the mean of its divisors is an integer number (18952363227).

Almost surely, 2^211441330420 is an apocalyptic number.

211441330420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211441330420 is an abundant number, since it is smaller than the sum of its proper divisors (243415387028).

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

211441330420 is a wasteful number, since it uses less digits than its factorization.

211441330420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257855331 (or 257855329 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 211441330420 its reverse (24033144112), we get a palindrome (235474474532).

The spelling of 211441330420 in words is "two hundred eleven billion, four hundred forty-one million, three hundred thirty thousand, four hundred twenty".