24104344340142 has 96 divisors (see below), whose sum is σ = 58058120221920. Its totient is φ = 7165388655360.

The previous prime is 24104344340129. The next prime is 24104344340149.

24104344340142 is a `hidden beast` number, since 2 + 4 + 1 + 0 + 434 + 43 + 40 + 142 = 666.

24104344340142 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 24104344340097 and 24104344340106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24104344340149) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 66950584 + ... + 67309652.

It is an arithmetic number, because the mean of its divisors is an integer number (604772085645).

Almost surely, 2^{24104344340142} is an apocalyptic number.

24104344340142 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 24104344340142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29029060110960).

24104344340142 is an abundant number, since it is smaller than the sum of its proper divisors (33953775881778).

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

24104344340142 is a wasteful number, since it uses less digits than its factorization.

24104344340142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365538 (or 365535 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, 2410434 and 4340142, that added together give a palindrome (6750576).

The spelling of 24104344340142 in words is "twenty-four trillion, one hundred four billion, three hundred forty-four million, three hundred forty thousand, one hundred forty-two".