24412266221442 has 128 divisors (see below), whose sum is σ = 58039982438400. Its totient is φ = 6761949465600.

The previous prime is 24412266221359. The next prime is 24412266221449.

24412266221442 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 24412266221394 and 24412266221403.

It is not an unprimeable number, because it can be changed into a prime (24412266221449) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 52389642 + ... + 52853562.

It is an arithmetic number, because the mean of its divisors is an integer number (453437362800).

Almost surely, 2^{24412266221442} is an apocalyptic number.

24412266221442 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 24412266221442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29019991219200).

24412266221442 is an abundant number, since it is smaller than the sum of its proper divisors (33627716216958).

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

24412266221442 is a wasteful number, since it uses less digits than its factorization.

24412266221442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465432.

The product of its digits is 589824, while the sum is 42.

It can be divided in two parts, 2441226 and 6221442, that added together give a palindrome (8662668).

The spelling of 24412266221442 in words is "twenty-four trillion, four hundred twelve billion, two hundred sixty-six million, two hundred twenty-one thousand, four hundred forty-two".