24241444414242 has 128 divisors (see below), whose sum is σ = 53486564060160. Its totient is φ = 7263584736000.

The previous prime is 24241444414217. The next prime is 24241444414247.

24241444414242 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 24241444414194 and 24241444414203.

It is not an unprimeable number, because it can be changed into a prime (24241444414247) 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, 2381042392 + ... + 2381052572.

It is an arithmetic number, because the mean of its divisors is an integer number (417863781720).

Almost surely, 2^{24241444414242} is an apocalyptic number.

24241444414242 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 24241444414242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26743282030080).

24241444414242 is an abundant number, since it is smaller than the sum of its proper divisors (29245119645918).

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

24241444414242 is a wasteful number, since it uses less digits than its factorization.

24241444414242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11360.

The product of its digits is 1048576, while the sum is 42.

It can be divided in two parts, 2424144 and 4414242, that added together give a palindrome (6838386).

The spelling of 24241444414242 in words is "twenty-four trillion, two hundred forty-one billion, four hundred forty-four million, four hundred fourteen thousand, two hundred forty-two".