42068016180 has 144 divisors (see below), whose sum is σ = 131899622400. Its totient is φ = 10841679360.

The previous prime is 42068016169. The next prime is 42068016197. The reversal of 42068016180 is 8161086024.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4509561 + ... + 4518879.

It is an arithmetic number, because the mean of its divisors is an integer number (915969600).

Almost surely, 2^42068016180 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42068016180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65949811200).

42068016180 is an abundant number, since it is smaller than the sum of its proper divisors (89831606220).

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

42068016180 is a wasteful number, since it uses less digits than its factorization.

42068016180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10174 (or 10169 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

It can be divided in two parts, 42068016 and 180, that added together give a square (42068196 = 6486²).

The spelling of 42068016180 in words is "forty-two billion, sixty-eight million, sixteen thousand, one hundred eighty".