24440100104442 has 64 divisors (see below), whose sum is σ = 54818684258688. Its totient is φ = 7198867872000.

The previous prime is 24440100104383. The next prime is 24440100104461.

24440100104442 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2407909 + ... + 7394472.

It is an arithmetic number, because the mean of its divisors is an integer number (856541941542).

Almost surely, 2^{24440100104442} is an apocalyptic number.

24440100104442 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

24440100104442 is an abundant number, since it is smaller than the sum of its proper divisors (30378584154246).

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

24440100104442 is a wasteful number, since it uses less digits than its factorization.

24440100104442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9803455.

The product of its (nonzero) digits is 16384, while the sum is 30.

It can be divided in two parts, 24440100 and 104442, that added together give a palindrome (24544542).

The spelling of 24440100104442 in words is "twenty-four trillion, four hundred forty billion, one hundred million, one hundred four thousand, four hundred forty-two".