42066500 has 144 divisors (see below), whose sum is σ = 114279984. Its totient is φ = 13440000.

The previous prime is 42066499. The next prime is 42066503. The reversal of 42066500 is 566024.

It can be written as a sum of positive squares in 8 ways, for example, as 1132096 + 40934404 = 1064^2 + 6398^2 .

It is not an unprimeable number, because it can be changed into a prime (42066503) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 416450 + ... + 416550.

It is an arithmetic number, because the mean of its divisors is an integer number (793611).

Almost surely, 2^42066500 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 42066500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57139992).

42066500 is an abundant number, since it is smaller than the sum of its proper divisors (72213484).

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

42066500 is a wasteful number, since it uses less digits than its factorization.

42066500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 42066500 is about 6485.8692555432. The cubic root of 42066500 is about 347.7860247110.

The spelling of 42066500 in words is "forty-two million, sixty-six thousand, five hundred".