66420042 has 48 divisors (see below), whose sum is σ = 148555008. Its totient is φ = 19768320.

The previous prime is 66420023. The next prime is 66420043. The reversal of 66420042 is 24002466.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 66419994 and 66420021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66420043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30378 + ... + 32490.

It is an arithmetic number, because the mean of its divisors is an integer number (3094896).

Almost surely, 2^66420042 is an apocalyptic number.

66420042 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 66420042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74277504).

66420042 is an abundant number, since it is smaller than the sum of its proper divisors (82134966).

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

66420042 is a wasteful number, since it uses less digits than its factorization.

66420042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2175 (or 2162 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 66420042 is about 8149.8492010589. The cubic root of 66420042 is about 404.9795081843.

It can be divided in two parts, 664 and 20042, that added together give a triangular number (20706 = T₂₀₃).

The spelling of 66420042 in words is "sixty-six million, four hundred twenty thousand, forty-two".