21242324443340 has 384 divisors, whose sum is σ = 61103569121280. Its totient is φ = 5989046169600.

The previous prime is 21242324443247. The next prime is 21242324443357. The reversal of 21242324443340 is 4334442324212.

It is a super-2 number, since 2×21242324443340² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21242324443294 and 21242324443303.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 328475849 + ... + 328540511.

It is an arithmetic number, because the mean of its divisors is an integer number (159123877920).

Almost surely, 2^{21242324443340} is an apocalyptic number.

21242324443340 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 21242324443340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30551784560640).

21242324443340 is an abundant number, since it is smaller than the sum of its proper divisors (39861244677940).

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

21242324443340 is a wasteful number, since it uses less digits than its factorization.

21242324443340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65033 (or 65031 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 38.

Adding to 21242324443340 its reverse (4334442324212), we get a palindrome (25576766767552).

The spelling of 21242324443340 in words is "twenty-one trillion, two hundred forty-two billion, three hundred twenty-four million, four hundred forty-three thousand, three hundred forty".