211204430340 has 192 divisors, whose sum is σ = 648008460288. Its totient is φ = 51167232000.

The previous prime is 211204430299. The next prime is 211204430347. The reversal of 211204430340 is 43034402112.

211204430340 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×211204430340² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 211204430340.

It is not an unprimeable number, because it can be changed into a prime (211204430347) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12671292 + ... + 12687948.

It is an arithmetic number, because the mean of its divisors is an integer number (3375044064).

Almost surely, 2^211204430340 is an apocalyptic number.

211204430340 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 211204430340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324004230144).

211204430340 is an abundant number, since it is smaller than the sum of its proper divisors (436804029948).

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

211204430340 is a wasteful number, since it uses less digits than its factorization.

211204430340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17118 (or 17116 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 211204430340 its reverse (43034402112), we get a palindrome (254238832452).

The spelling of 211204430340 in words is "two hundred eleven billion, two hundred four million, four hundred thirty thousand, three hundred forty".