42066242064 has 360 divisors, whose sum is σ = 153053016480. Its totient is φ = 10658995200.

The previous prime is 42066242063. The next prime is 42066242159. The reversal of 42066242064 is 46024266024.

42066242064 is a `hidden beast` number, since 4 + 2 + 0 + 6 + 624 + 20 + 6 + 4 = 666.

42066242064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (42066242063) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3175647 + ... + 3188865.

It is an arithmetic number, because the mean of its divisors is an integer number (425147268).

Almost surely, 2^42066242064 is an apocalyptic number.

42066242064 is a gapful number since it is divisible by the number (44) 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 42066242064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76526508240).

42066242064 is an abundant number, since it is smaller than the sum of its proper divisors (110986774416).

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

42066242064 is a wasteful number, since it uses less digits than its factorization.

42066242064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13299 (or 13283 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The spelling of 42066242064 in words is "forty-two billion, sixty-six million, two hundred forty-two thousand, sixty-four".