211144412440 has 128 divisors (see below), whose sum is σ = 517430592000. Its totient is φ = 77077168128.

The previous prime is 211144412419. The next prime is 211144412473. The reversal of 211144412440 is 44214441112.

It is a junction number, because it is equal to n+sod(n) for n = 211144412399 and 211144412408.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 72581706 + ... + 72584614.

It is an arithmetic number, because the mean of its divisors is an integer number (4042426500).

Almost surely, 2^211144412440 is an apocalyptic number.

211144412440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211144412440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258715296000).

211144412440 is an abundant number, since it is smaller than the sum of its proper divisors (306286179560).

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

211144412440 is a wasteful number, since it uses less digits than its factorization.

211144412440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4469 (or 4465 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

Adding to 211144412440 its reverse (44214441112), we get a palindrome (255358853552).

The spelling of 211144412440 in words is "two hundred eleven billion, one hundred forty-four million, four hundred twelve thousand, four hundred forty".