42133830 has 64 divisors (see below), whose sum is σ = 107274240. Its totient is φ = 10561536.

The previous prime is 42133829. The next prime is 42133831. The reversal of 42133830 is 3833124.

It is an interprime number because it is at equal distance from previous prime (42133829) and next prime (42133831).

It is a self number, because there is not a number n which added to its sum of digits gives 42133830.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42133831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 109819 + ... + 110201.

It is an arithmetic number, because the mean of its divisors is an integer number (1676160).

Almost surely, 2^42133830 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42133830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53637120).

42133830 is an abundant number, since it is smaller than the sum of its proper divisors (65140410).

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

42133830 is a wasteful number, since it uses less digits than its factorization.

42133830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 605.

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 42133830 is about 6491.0576950140. The cubic root of 42133830 is about 347.9714767215.

Adding to 42133830 its reverse (3833124), we get a palindrome (45966954).

The spelling of 42133830 in words is "forty-two million, one hundred thirty-three thousand, eight hundred thirty".