22142314414242 has 96 divisors (see below), whose sum is σ = 54129452731200. Its totient is φ = 6704276451840.

The previous prime is 22142314414219. The next prime is 22142314414243. The reversal of 22142314414242 is 24241441324122.

22142314414242 is a `hidden beast` number, since 2 + 2 + 1 + 4 + 231 + 4 + 414 + 2 + 4 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 22142314414197 and 22142314414206.

It is not an unprimeable number, because it can be changed into a prime (22142314414243) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6559609 + ... + 9344147.

It is an arithmetic number, because the mean of its divisors is an integer number (563848465950).

Almost surely, 2^{22142314414242} is an apocalyptic number.

22142314414242 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 22142314414242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27064726365600).

22142314414242 is an abundant number, since it is smaller than the sum of its proper divisors (31987138316958).

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

22142314414242 is a wasteful number, since it uses less digits than its factorization.

22142314414242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2785789 (or 2785772 counting only the distinct ones).

The product of its digits is 98304, while the sum is 36.

Adding to 22142314414242 its reverse (24241441324122), we get a palindrome (46383755738364).

The spelling of 22142314414242 in words is "twenty-two trillion, one hundred forty-two billion, three hundred fourteen million, four hundred fourteen thousand, two hundred forty-two".