42010591168 has 112 divisors (see below), whose sum is σ = 102977151424. Its totient is φ = 16558940160.

The previous prime is 42010591153. The next prime is 42010591211. The reversal of 42010591168 is 86119501024.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

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, 1600228 + ... + 1626268.

It is an arithmetic number, because the mean of its divisors is an integer number (919438852).

Almost surely, 2^42010591168 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 42010591168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51488575712).

42010591168 is an abundant number, since it is smaller than the sum of its proper divisors (60966560256).

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

42010591168 is a wasteful number, since it uses less digits than its factorization.

42010591168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26350 (or 26340 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 37.

The spelling of 42010591168 in words is "forty-two billion, ten million, five hundred ninety-one thousand, one hundred sixty-eight".