211242404320 has 192 divisors, whose sum is σ = 532823961600. Its totient is φ = 78915686400.

The previous prime is 211242404291. The next prime is 211242404323. The reversal of 211242404320 is 23404242112.

It is a super-3 number, since 3×211242404320³ (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211242404323) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 62886801 + ... + 62890159.

It is an arithmetic number, because the mean of its divisors is an integer number (2775124800).

Almost surely, 2^211242404320 is an apocalyptic number.

211242404320 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 211242404320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266411980800).

211242404320 is an abundant number, since it is smaller than the sum of its proper divisors (321581557280).

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

211242404320 is a wasteful number, since it uses less digits than its factorization.

211242404320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3681 (or 3673 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 211242404320 its reverse (23404242112), we get a palindrome (234646646432).

The spelling of 211242404320 in words is "two hundred eleven billion, two hundred forty-two million, four hundred four thousand, three hundred twenty".