24440222204442 has 96 divisors (see below), whose sum is σ = 59333534582400. Its totient is φ = 7205422469760.

The previous prime is 24440222204401. The next prime is 24440222204471.

24440222204442 is a `hidden beast` number, since 2 + 4 + 4 + 4 + 0 + 2 + 2 + 2 + 204 + 442 = 666.

24440222204442 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×24440222204442² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 24440222204397 and 24440222204406.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 103537683 + ... + 103773465.

It is an arithmetic number, because the mean of its divisors is an integer number (618057651900).

Almost surely, 2^{24440222204442} is an apocalyptic number.

24440222204442 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 24440222204442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29666767291200).

24440222204442 is an abundant number, since it is smaller than the sum of its proper divisors (34893312377958).

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

24440222204442 is a wasteful number, since it uses less digits than its factorization.

24440222204442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249988 (or 249985 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 36.

It can be divided in two parts, 2444022 and 2204442, that added together give a palindrome (4648464).

The spelling of 24440222204442 in words is "twenty-four trillion, four hundred forty billion, two hundred twenty-two million, two hundred four thousand, four hundred forty-two".