211334934240 has 288 divisors, whose sum is σ = 764320808160. Its totient is φ = 52991066112.

The previous prime is 211334934169. The next prime is 211334934253. The reversal of 211334934240 is 42439433112.

211334934240 is a `hidden beast` number, since 2 + 113 + 34 + 93 + 424 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 211334934195 and 211334934204.

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 47 ways as a sum of consecutive naturals, for example, 30816892 + ... + 30823748.

It is an arithmetic number, because the mean of its divisors is an integer number (2653891695).

Almost surely, 2^211334934240 is an apocalyptic number.

211334934240 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 211334934240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382160404080).

211334934240 is an abundant number, since it is smaller than the sum of its proper divisors (552985873920).

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

211334934240 is a wasteful number, since it uses less digits than its factorization.

211334934240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8154 (or 8143 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 211334934240 in words is "two hundred eleven billion, three hundred thirty-four million, nine hundred thirty-four thousand, two hundred forty".