24441100114442 has 32 divisors (see below), whose sum is σ = 40395685042944. Its totient is φ = 10998186472000.

The previous prime is 24441100114441. The next prime is 24441100114499.

24441100114442 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 24441100114399 and 24441100114408.

It is not an unprimeable number, because it can be changed into a prime (24441100114441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16749023 + ... + 18149709.

It is an arithmetic number, because the mean of its divisors is an integer number (1262365157592).

Almost surely, 2^{24441100114442} is an apocalyptic number.

24441100114442 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

24441100114442 is a deficient number, since it is larger than the sum of its proper divisors (15954584928502).

24441100114442 is a wasteful number, since it uses less digits than its factorization.

24441100114442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1408654.

The product of its (nonzero) digits is 16384, while the sum is 32.

It can be divided in two parts, 24441100 and 114442, that added together give a palindrome (24555542).

The spelling of 24441100114442 in words is "twenty-four trillion, four hundred forty-one billion, one hundred million, one hundred fourteen thousand, four hundred forty-two".