24024042042 has 192 divisors, whose sum is σ = 65837936640. Its totient is φ = 5685863040.

The previous prime is 24024042023. The next prime is 24024042083.

24024042042 is nontrivially palindromic in base 10.

24024042042 is a modest number, since divided by 42042 gives 24024 as remainder.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5216913 + ... + 5221515.

It is an arithmetic number, because the mean of its divisors is an integer number (342905920).

Almost surely, 2^24024042042 is an apocalyptic number.

24024042042 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 24024042042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32918968320).

24024042042 is an abundant number, since it is smaller than the sum of its proper divisors (41813894598).

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

24024042042 is a wasteful number, since it uses less digits than its factorization.

24024042042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4729 (or 4718 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

It can be divided in two parts, 240240 and 42042, that added together give a palindrome (282282).

The spelling of 24024042042 in words is "twenty-four billion, twenty-four million, forty-two thousand, forty-two".