20441344224 has 96 divisors (see below), whose sum is σ = 61373120256. Its totient is φ = 5835709440.

The previous prime is 20441344213. The next prime is 20441344241. The reversal of 20441344224 is 42244314402.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 20441344191 and 20441344200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 876199 + ... + 899225.

It is an arithmetic number, because the mean of its divisors is an integer number (639303336).

Almost surely, 2^20441344224 is an apocalyptic number.

20441344224 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 20441344224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30686560128).

20441344224 is an abundant number, since it is smaller than the sum of its proper divisors (40931776032).

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

20441344224 is a wasteful number, since it uses less digits than its factorization.

20441344224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24368 (or 24360 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 30.

Adding to 20441344224 its reverse (42244314402), we get a palindrome (62685658626).

The spelling of 20441344224 in words is "twenty billion, four hundred forty-one million, three hundred forty-four thousand, two hundred twenty-four".