24423633632442 has 384 divisors, whose sum is σ = 57851966914560. Its totient is φ = 6801826711680.

The previous prime is 24423633632401. The next prime is 24423633632449.

It is a happy number.

24423633632442 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 24423633632391 and 24423633632400.

It is not an unprimeable number, because it can be changed into a prime (24423633632449) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 175709594409 + ... + 175709594547.

It is an arithmetic number, because the mean of its divisors is an integer number (150656163840).

Almost surely, 2^{24423633632442} is an apocalyptic number.

24423633632442 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 24423633632442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28925983457280).

24423633632442 is an abundant number, since it is smaller than the sum of its proper divisors (33428333282118).

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

24423633632442 is a wasteful number, since it uses less digits than its factorization.

24423633632442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 606 (or 467 counting only the distinct ones).

The product of its digits is 11943936, while the sum is 48.

The spelling of 24423633632442 in words is "twenty-four trillion, four hundred twenty-three billion, six hundred thirty-three million, six hundred thirty-two thousand, four hundred forty-two".