42066126 has 96 divisors (see below), whose sum is σ = 103783680. Its totient is φ = 12241152.

The previous prime is 42066121. The next prime is 42066173. The reversal of 42066126 is 62166024.

It is a happy number.

42066126 is a `hidden beast` number, since 42 + 0 + 6 + 612 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 42066126.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42066121) 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 47 ways as a sum of consecutive naturals, for example, 302565 + ... + 302703.

It is an arithmetic number, because the mean of its divisors is an integer number (1081080).

Almost surely, 2^42066126 is an apocalyptic number.

42066126 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 42066126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51891840).

42066126 is an abundant number, since it is smaller than the sum of its proper divisors (61717554).

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

42066126 is a wasteful number, since it uses less digits than its factorization.

42066126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 42066126 is about 6485.8404235689. The cubic root of 42066126 is about 347.7849940226.

The spelling of 42066126 in words is "forty-two million, sixty-six thousand, one hundred twenty-six".