211430204413440 has 160 divisors (see below), whose sum is σ = 690297126013440. Its totient is φ = 55181783752704.

The previous prime is 211430204413409. The next prime is 211430204413451. The reversal of 211430204413440 is 44314402034112.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 292511110 + ... + 293233029.

It is an arithmetic number, because the mean of its divisors is an integer number (4314357037584).

Almost surely, 2^{211430204413440} is an apocalyptic number.

211430204413440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211430204413440 is an abundant number, since it is smaller than the sum of its proper divisors (478866921600000).

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

211430204413440 is an equidigital number, since it uses as much as digits as its factorization.

211430204413440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 585744212 (or 585744196 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

Adding to 211430204413440 its reverse (44314402034112), we get a palindrome (255744606447552).

The spelling of 211430204413440 in words is "two hundred eleven trillion, four hundred thirty billion, two hundred four million, four hundred thirteen thousand, four hundred forty".