211421130240 has 320 divisors, whose sum is σ = 695076940800. Its totient is φ = 54795141120.

The previous prime is 211421130203. The next prime is 211421130259. The reversal of 211421130240 is 42031124112.

211421130240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 53781075 + ... + 53785005.

It is an arithmetic number, because the mean of its divisors is an integer number (2172115440).

Almost surely, 2^211421130240 is an apocalyptic number.

211421130240 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 211421130240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347538470400).

211421130240 is an abundant number, since it is smaller than the sum of its proper divisors (483655810560).

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

211421130240 is a wasteful number, since it uses less digits than its factorization.

211421130240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4153 (or 4137 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 211421130240 its reverse (42031124112), we get a palindrome (253452254352).

The spelling of 211421130240 in words is "two hundred eleven billion, four hundred twenty-one million, one hundred thirty thousand, two hundred forty".