42042224 has 80 divisors (see below), whose sum is σ = 100279296. Its totient is φ = 16665600.

The previous prime is 42042211. The next prime is 42042227. The reversal of 42042224 is 42224024.

It is a junction number, because it is equal to n+sod(n) for n = 42042196 and 42042205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42042227) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 135029 + ... + 135339.

Almost surely, 2^42042224 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 42042224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50139648).

42042224 is an abundant number, since it is smaller than the sum of its proper divisors (58237072).

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

42042224 is a wasteful number, since it uses less digits than its factorization.

42042224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

The square root of 42042224 is about 6483.9975323869. The cubic root of 42042224 is about 347.7191109900.

Adding to 42042224 its reverse (42224024), we get a palindrome (84266248).

The spelling of 42042224 in words is "forty-two million, forty-two thousand, two hundred twenty-four".