42119424 has 108 divisors (see below), whose sum is σ = 123320652. Its totient is φ = 13824000.

The previous prime is 42119383. The next prime is 42119449. The reversal of 42119424 is 42491124.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 19079424 + 23040000 = 4368^2 + 4800^2 .

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 232614 + ... + 232794.

Almost surely, 2^42119424 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 42119424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61660326).

42119424 is an abundant number, since it is smaller than the sum of its proper divisors (81201228).

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

42119424 is a wasteful number, since it uses less digits than its factorization.

42119424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 287 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 42119424 is about 6489.9479196678. The cubic root of 42119424 is about 347.9318138305.

42119424 divided by its product of digits (2304) gives a palindrome (18281).

The spelling of 42119424 in words is "forty-two million, one hundred nineteen thousand, four hundred twenty-four".