22013441440 has 96 divisors (see below), whose sum is σ = 55105459920. Its totient is φ = 8281473024.

The previous prime is 22013441413. The next prime is 22013441479. The reversal of 22013441440 is 4414431022.

It can be written as a sum of positive squares in 8 ways, for example, as 4575710736 + 17437730704 = 67644^2 + 132052^2 .

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, 6344026 + ... + 6347494.

Almost surely, 2^22013441440 is an apocalyptic number.

22013441440 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 22013441440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27552729960).

22013441440 is an abundant number, since it is smaller than the sum of its proper divisors (33092018480).

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

22013441440 is a wasteful number, since it uses less digits than its factorization.

22013441440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5834 (or 5826 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 22013441440 its reverse (4414431022), we get a palindrome (26427872462).

The spelling of 22013441440 in words is "twenty-two billion, thirteen million, four hundred forty-one thousand, four hundred forty".