24424200242442 has 768 divisors, whose sum is σ = 74340839559168. Its totient is φ = 5591508848640.

The previous prime is 24424200242419. The next prime is 24424200242459.

24424200242442 is a `hidden beast` number, since 2 + 4 + 4 + 2 + 4 + 200 + 2 + 4 + 2 + 442 = 666.

24424200242442 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 24424200242397 and 24424200242406.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 13980651813 + ... + 13980653559.

It is an arithmetic number, because the mean of its divisors is an integer number (96797968176).

Almost surely, 2^{24424200242442} is an apocalyptic number.

24424200242442 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 24424200242442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37170419779584).

24424200242442 is an abundant number, since it is smaller than the sum of its proper divisors (49916639316726).

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

24424200242442 is a wasteful number, since it uses less digits than its factorization.

24424200242442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2203 (or 2200 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, 24424200 and 242442, that added together give a palindrome (24666642).

The spelling of 24424200242442 in words is "twenty-four trillion, four hundred twenty-four billion, two hundred million, two hundred forty-two thousand, four hundred forty-two".