42033824 has 24 divisors (see below), whose sum is σ = 94576608. Its totient is φ = 18014400.

The previous prime is 42033821. The next prime is 42033829. The reversal of 42033824 is 42833024.

It is a junction number, because it is equal to n+sod(n) for n = 42033793 and 42033802.

It is not an unprimeable number, because it can be changed into a prime (42033821) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 93602 + ... + 94049.

It is an arithmetic number, because the mean of its divisors is an integer number (3940692).

Almost surely, 2^42033824 is an apocalyptic number.

It is an amenable number.

42033824 is an abundant number, since it is smaller than the sum of its proper divisors (52542784).

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

42033824 is a wasteful number, since it uses less digits than its factorization.

42033824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187668 (or 187660 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

The square root of 42033824 is about 6483.3497514788. The cubic root of 42033824 is about 347.6959514549.

Adding to 42033824 its reverse (42833024), we get a palindrome (84866848).

The spelling of 42033824 in words is "forty-two million, thirty-three thousand, eight hundred twenty-four".