42161071568 has 240 divisors, whose sum is σ = 105601574400. Its totient is φ = 16286941440.

The previous prime is 42161071567. The next prime is 42161071597. The reversal of 42161071568 is 86517016124.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42161071567) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 114880121 + ... + 114880487.

It is an arithmetic number, because the mean of its divisors is an integer number (440006560).

Almost surely, 2^42161071568 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 42161071568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52800787200).

42161071568 is an abundant number, since it is smaller than the sum of its proper divisors (63440502832).

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

42161071568 is a wasteful number, since it uses less digits than its factorization.

42161071568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 591 (or 560 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 41.

The spelling of 42161071568 in words is "forty-two billion, one hundred sixty-one million, seventy-one thousand, five hundred sixty-eight".