24142442112 has 96 divisors (see below), whose sum is σ = 73128900000. Its totient is φ = 7623922176.

The previous prime is 24142442111. The next prime is 24142442113. The reversal of 24142442112 is 21124424142.

24142442112 is a `hidden beast` number, since 2 + 414 + 244 + 2 + 1 + 1 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (24142442111) and next prime (24142442113).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×24142442112² (a number of 22 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (24142442111) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 529612 + ... + 573387.

It is an arithmetic number, because the mean of its divisors is an integer number (761759375).

Almost surely, 2^24142442112 is an apocalyptic number.

It is an amenable number.

24142442112 is an abundant number, since it is smaller than the sum of its proper divisors (48986457888).

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

24142442112 is a wasteful number, since it uses less digits than its factorization.

24142442112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1103038 (or 1103023 counting only the distinct ones).

The product of its digits is 4096, while the sum is 27.

Adding to 24142442112 its reverse (21124424142), we get a palindrome (45266866254).

The spelling of 24142442112 in words is "twenty-four billion, one hundred forty-two million, four hundred forty-two thousand, one hundred twelve".