24342122124342 has 144 divisors (see below), whose sum is σ = 61724635440624. Its totient is φ = 6873755520000.

The previous prime is 24342122124323. The next prime is 24342122124367.

24342122124342 is a `hidden beast` number, since 2 + 4 + 3 + 4 + 2 + 1 + 2 + 212 + 434 + 2 = 666.

24342122124342 is nontrivially palindromic in base 10.

It is a super-4 number, since 4×24342122124342⁴ (a number of 55 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 24342122124297 and 24342122124306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3673492 + ... + 7885352.

It is an arithmetic number, because the mean of its divisors is an integer number (428643301671).

Almost surely, 2^{24342122124342} is an apocalyptic number.

24342122124342 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 24342122124342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30862317720312).

24342122124342 is an abundant number, since it is smaller than the sum of its proper divisors (37382513316282).

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

24342122124342 is a wasteful number, since it uses less digits than its factorization.

24342122124342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4212015 (or 4211995 counting only the distinct ones).

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

It can be divided in two parts, 2434212 and 2124342, that added together give a palindrome (4558554).

The spelling of 24342122124342 in words is "twenty-four trillion, three hundred forty-two billion, one hundred twenty-two million, one hundred twenty-four thousand, three hundred forty-two".