42001168 has 40 divisors (see below), whose sum is σ = 89369280. Its totient is φ = 18963840.

The previous prime is 42001117. The next prime is 42001171. The reversal of 42001168 is 86110024.

It is a super-2 number, since 2×42001168² = 3528196226728448, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28678 + ... + 30106.

It is an arithmetic number, because the mean of its divisors is an integer number (2234232).

Almost surely, 2^42001168 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 42001168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44684640).

42001168 is an abundant number, since it is smaller than the sum of its proper divisors (47368112).

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

42001168 is a wasteful number, since it uses less digits than its factorization.

42001168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1615 (or 1609 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 42001168 is about 6480.8308109377. The cubic root of 42001168 is about 347.6058866803.

The spelling of 42001168 in words is "forty-two million, one thousand, one hundred sixty-eight".