42000066 has 32 divisors (see below), whose sum is σ = 94173120. Its totient is φ = 13874112.

The previous prime is 42000061. The next prime is 42000067. The reversal of 42000066 is 66000024.

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

42000066 is a modest number, since divided by 66 gives 42 as remainder.

It is not an unprimeable number, because it can be changed into a prime (42000061) 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 15 ways as a sum of consecutive naturals, for example, 2661 + ... + 9543.

It is an arithmetic number, because the mean of its divisors is an integer number (2942910).

Almost surely, 2^42000066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42000066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47086560).

42000066 is an abundant number, since it is smaller than the sum of its proper divisors (52173054).

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

42000066 is a wasteful number, since it uses less digits than its factorization.

42000066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7007 (or 7001 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 42000066 is about 6480.7457904164. The cubic root of 42000066 is about 347.6028465661.

The spelling of 42000066 in words is "forty-two million, sixty-six", and thus it is an aban number, an eban number, and an uban number.