211330234440 has 480 divisors, whose sum is σ = 776549695680. Its totient is φ = 51519297024.

The previous prime is 211330234411. The next prime is 211330234457. The reversal of 211330234440 is 44432033112.

211330234440 is a `hidden beast` number, since 2 + 1 + 13 + 302 + 344 + 4 + 0 = 666.

It is a super-2 number, since 2×211330234440² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 58587117 + ... + 58590723.

It is an arithmetic number, because the mean of its divisors is an integer number (1617811866).

Almost surely, 2^211330234440 is an apocalyptic number.

211330234440 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 211330234440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388274847840).

211330234440 is an abundant number, since it is smaller than the sum of its proper divisors (565219461240).

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

211330234440 is a wasteful number, since it uses less digits than its factorization.

211330234440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3763 (or 3737 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 211330234440 its reverse (44432033112), we get a palindrome (255762267552).

The spelling of 211330234440 in words is "two hundred eleven billion, three hundred thirty million, two hundred thirty-four thousand, four hundred forty".