42123824 has 40 divisors (see below), whose sum is σ = 86900688. Its totient is φ = 19712000.

The previous prime is 42123793. The next prime is 42123839. The reversal of 42123824 is 42832124.

It is a junction number, because it is equal to n+sod(n) for n = 42123793 and 42123802.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 67964 + ... + 68580.

Almost surely, 2^42123824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42123824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43450344).

42123824 is an abundant number, since it is smaller than the sum of its proper divisors (44776864).

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

42123824 is a wasteful number, since it uses less digits than its factorization.

42123824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 893 (or 887 counting only the distinct ones).

The product of its digits is 3072, while the sum is 26.

The square root of 42123824 is about 6490.2868965863. The cubic root of 42123824 is about 347.9439289588.

Adding to 42123824 its reverse (42832124), we get a palindrome (84955948).

The spelling of 42123824 in words is "forty-two million, one hundred twenty-three thousand, eight hundred twenty-four".