21324241344 has 224 divisors, whose sum is σ = 67463700480. Its totient is φ = 5812190208.

The previous prime is 21324241319. The next prime is 21324241349. The reversal of 21324241344 is 44314242312.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-3 number, since 3×21324241344³ (a number of 32 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21324241349) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16166317 + ... + 16167635.

Almost surely, 2^21324241344 is an apocalyptic number.

21324241344 is a gapful number since it is divisible by the number (24) 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 21324241344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33731850240).

21324241344 is an abundant number, since it is smaller than the sum of its proper divisors (46139459136).

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

21324241344 is a wasteful number, since it uses less digits than its factorization.

21324241344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1887 (or 1877 counting only the distinct ones).

The product of its digits is 18432, while the sum is 30.

Adding to 21324241344 its reverse (44314242312), we get a palindrome (65638483656).

The spelling of 21324241344 in words is "twenty-one billion, three hundred twenty-four million, two hundred forty-one thousand, three hundred forty-four".