42060064160 has 96 divisors (see below), whose sum is σ = 103333708800. Its totient is φ = 16158499840.

The previous prime is 42060064139. The next prime is 42060064177. The reversal of 42060064160 is 6146006024.

42060064160 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 (29).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 862511 + ... + 909969.

It is an arithmetic number, because the mean of its divisors is an integer number (1076392800).

Almost surely, 2^42060064160 is an apocalyptic number.

42060064160 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 42060064160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51666854400).

42060064160 is an abundant number, since it is smaller than the sum of its proper divisors (61273644640).

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

42060064160 is a wasteful number, since it uses less digits than its factorization.

42060064160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47694 (or 47686 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

The spelling of 42060064160 in words is "forty-two billion, sixty million, sixty-four thousand, one hundred sixty".