24421144112442 has 384 divisors, whose sum is σ = 69099292753920. Its totient is φ = 6044297656320.

The previous prime is 24421144112437. The next prime is 24421144112471.

24421144112442 is a `hidden beast` number, since 2 + 4 + 4 + 211 + 4 + 411 + 24 + 4 + 2 = 666.

24421144112442 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×24421144112442³ (a number of 41 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 24421144112397 and 24421144112406.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 13883537559 + ... + 13883539317.

It is an arithmetic number, because the mean of its divisors is an integer number (179946074880).

Almost surely, 2^{24421144112442} is an apocalyptic number.

24421144112442 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 24421144112442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34549646376960).

24421144112442 is an abundant number, since it is smaller than the sum of its proper divisors (44678148641478).

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

24421144112442 is a wasteful number, since it uses less digits than its factorization.

24421144112442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3218 (or 3215 counting only the distinct ones).

The product of its digits is 65536, while the sum is 36.

It can be divided in two parts, 2442114 and 4112442, that added together give a palindrome (6554556).

The spelling of 24421144112442 in words is "twenty-four trillion, four hundred twenty-one billion, one hundred forty-four million, one hundred twelve thousand, four hundred forty-two".