42066426006 has 128 divisors (see below), whose sum is σ = 105794726400. Its totient is φ = 12272964480.

The previous prime is 42066425987. The next prime is 42066426013. The reversal of 42066426006 is 60062466024.

42066426006 is a `hidden beast` number, since 4 + 2 + 0 + 6 + 6 + 42 + 600 + 6 = 666.

It is a super-2 number, since 2×42066426006² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6422025 + ... + 6428571.

It is an arithmetic number, because the mean of its divisors is an integer number (826521300).

Almost surely, 2^42066426006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42066426006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52897363200).

42066426006 is an abundant number, since it is smaller than the sum of its proper divisors (63728300394).

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

42066426006 is a wasteful number, since it uses less digits than its factorization.

42066426006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6971 (or 6965 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 42066426006 in words is "forty-two billion, sixty-six million, four hundred twenty-six thousand, six".