42066506160 has 480 divisors, whose sum is σ = 170685265920. Its totient is φ = 9069926400.

The previous prime is 42066506159. The next prime is 42066506177. The reversal of 42066506160 is 6160566024.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25950150 + ... + 25951770.

It is an arithmetic number, because the mean of its divisors is an integer number (355594304).

Almost surely, 2^42066506160 is an apocalyptic number.

42066506160 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 42066506160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85342632960).

42066506160 is an abundant number, since it is smaller than the sum of its proper divisors (128618759760).

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

42066506160 is a wasteful number, since it uses less digits than its factorization.

42066506160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1937 (or 1928 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 42066506160 in words is "forty-two billion, sixty-six million, five hundred six thousand, one hundred sixty".