42066000 has 320 divisors, whose sum is σ = 162489600. Its totient is φ = 10368000.

The previous prime is 42065983. The next prime is 42066023. The reversal of 42066000 is 66024.

42066000 is a `hidden beast` number, since 4 + 2 + 0 + 660 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1025980 + ... + 1026020.

It is an arithmetic number, because the mean of its divisors is an integer number (507780).

Almost surely, 2^42066000 is an apocalyptic number.

42066000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42066000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81244800).

42066000 is an abundant number, since it is smaller than the sum of its proper divisors (120423600).

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

42066000 is a wasteful number, since it uses less digits than its factorization.

42066000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 70 counting only the distinct ones).

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

The square root of 42066000 is about 6485.8307100941. The cubic root of 42066000 is about 347.7846467840.

The spelling of 42066000 in words is "forty-two million, sixty-six thousand", and thus it is an eban number.