24340144104342 has 96 divisors (see below), whose sum is σ = 60564540741120. Its totient is φ = 6986986119360.

The previous prime is 24340144104317. The next prime is 24340144104343.

24340144104342 is a `hidden beast` number, since 2 + 43 + 40 + 144 + 1 + 0 + 434 + 2 = 666.

24340144104342 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 24340144104297 and 24340144104306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24340144104343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43348963 + ... + 43906865.

It is an arithmetic number, because the mean of its divisors is an integer number (630880632720).

Almost surely, 2^{24340144104342} is an apocalyptic number.

24340144104342 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

24340144104342 is an abundant number, since it is smaller than the sum of its proper divisors (36224396636778).

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

24340144104342 is a wasteful number, since it uses less digits than its factorization.

24340144104342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 569538 (or 569535 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

It can be divided in two parts, 2434014 and 4104342, that added together give a palindrome (6538356).

The spelling of 24340144104342 in words is "twenty-four trillion, three hundred forty billion, one hundred forty-four million, one hundred four thousand, three hundred forty-two".