42111168 has 112 divisors (see below), whose sum is σ = 123285504. Its totient is φ = 12579840.

The previous prime is 42111131. The next prime is 42111211. The reversal of 42111168 is 86111124.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 268146 + ... + 268302.

Almost surely, 2^42111168 is an apocalyptic number.

42111168 is a gapful number since it is divisible by the number (48) 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 42111168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61642752).

42111168 is an abundant number, since it is smaller than the sum of its proper divisors (81174336).

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

42111168 is a wasteful number, since it uses less digits than its factorization.

42111168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 300 counting only the distinct ones).

The product of its digits is 384, while the sum is 24.

The square root of 42111168 is about 6489.3118279214. The cubic root of 42111168 is about 347.9090791673.

It can be divided in two parts, 4211116 and 8, that added together give a palindrome (4211124).

The spelling of 42111168 in words is "forty-two million, one hundred eleven thousand, one hundred sixty-eight".