66042042 has 48 divisors (see below), whose sum is σ = 153752256. Its totient is φ = 18832000.

The previous prime is 66042037. The next prime is 66042047. The reversal of 66042042 is 24024066.

It is an interprime number because it is at equal distance from previous prime (66042037) and next prime (66042047).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66042047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9667 + ... + 15017.

It is an arithmetic number, because the mean of its divisors is an integer number (3203172).

Almost surely, 2^66042042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66042042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76876128).

66042042 is an abundant number, since it is smaller than the sum of its proper divisors (87710214).

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

66042042 is a wasteful number, since it uses less digits than its factorization.

66042042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5395 (or 5384 counting only the distinct ones).

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

The square root of 66042042 is about 8126.6254989387. The cubic root of 66042042 is about 404.2097928450.

It can be divided in two parts, 6604 and 2042, that added together give a triangular number (8646 = T₁₃₁).

The spelling of 66042042 in words is "sixty-six million, forty-two thousand, forty-two", and thus it is an eban number.