42112224 has 240 divisors, whose sum is σ = 155143296. Its totient is φ = 10886400.

The previous prime is 42112211. The next prime is 42112261. The reversal of 42112224 is 42221124.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

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

It is a junction number, because it is equal to n+sod(n) for n = 42112197 and 42112206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 199479 + ... + 199689.

Almost surely, 2^42112224 is an apocalyptic number.

42112224 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42112224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77571648).

42112224 is an abundant number, since it is smaller than the sum of its proper divisors (113031072).

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

42112224 is a wasteful number, since it uses less digits than its factorization.

42112224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 234 counting only the distinct ones).

The product of its digits is 256, while the sum is 18.

The square root of 42112224 is about 6489.3931919710. The cubic root of 42112224 is about 347.9119872550.

Adding to 42112224 its reverse (42221124), we get a palindrome (84333348).

Subtracting 42112224 from its reverse (42221124), we obtain a square (108900 = 330²).

The spelling of 42112224 in words is "forty-two million, one hundred twelve thousand, two hundred twenty-four".