211404221344 has 144 divisors (see below), whose sum is σ = 459876372480. Its totient is φ = 95527792640.

The previous prime is 211404221291. The next prime is 211404221417. The reversal of 211404221344 is 443122404112.

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 23 ways as a sum of consecutive naturals, for example, 51222609 + ... + 51226735.

It is an arithmetic number, because the mean of its divisors is an integer number (3193585920).

Almost surely, 2^211404221344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211404221344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229938186240).

211404221344 is an abundant number, since it is smaller than the sum of its proper divisors (248472151136).

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

211404221344 is a wasteful number, since it uses less digits than its factorization.

211404221344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4391 (or 4366 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 211404221344 its reverse (443122404112), we get a palindrome (654526625456).

The spelling of 211404221344 in words is "two hundred eleven billion, four hundred four million, two hundred twenty-one thousand, three hundred forty-four".