24434123412042 has 96 divisors (see below), whose sum is σ = 54444451501440. Its totient is φ = 7914939840000.

The previous prime is 24434123412031. The next prime is 24434123412053. The reversal of 24434123412042 is 24021432143442.

24434123412042 is a `hidden beast` number, since 2 + 4 + 4 + 3 + 412 + 34 + 1 + 204 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (24434123412031) and next prime (24434123412053).

It is a super-2 number, since 2×24434123412042² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 24434123411988 and 24434123412006.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 332993934 + ... + 333067302.

It is an arithmetic number, because the mean of its divisors is an integer number (567129703140).

Almost surely, 2^{24434123412042} is an apocalyptic number.

24434123412042 is an abundant number, since it is smaller than the sum of its proper divisors (30010328089398).

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

24434123412042 is a wasteful number, since it uses less digits than its factorization.

24434123412042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75180 (or 75177 counting only the distinct ones).

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

Adding to 24434123412042 its reverse (24021432143442), we get a palindrome (48455555555484).

The spelling of 24434123412042 in words is "twenty-four trillion, four hundred thirty-four billion, one hundred twenty-three million, four hundred twelve thousand, forty-two".