24344311344342 has 64 divisors (see below), whose sum is σ = 53143722086400. Its totient is φ = 7373056628000.

The previous prime is 24344311344313. The next prime is 24344311344389.

24344311344342 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 24344311344294 and 24344311344303.

It is a congruent number.

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, 1808231503 + ... + 1808244965.

It is an arithmetic number, because the mean of its divisors is an integer number (830370657600).

Almost surely, 2^{24344311344342} is an apocalyptic number.

24344311344342 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

24344311344342 is an abundant number, since it is smaller than the sum of its proper divisors (28799410742058).

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

24344311344342 is a wasteful number, since it uses less digits than its factorization.

24344311344342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26329.

The product of its digits is 1327104, while the sum is 42.

It can be divided in two parts, 2434431 and 1344342, that added together give a palindrome (3778773).

The spelling of 24344311344342 in words is "twenty-four trillion, three hundred forty-four billion, three hundred eleven million, three hundred forty-four thousand, three hundred forty-two".