42416 has 20 divisors (see below), whose sum is σ = 90024. Its totient is φ = 19200.

The previous prime is 42409. The next prime is 42433. The reversal of 42416 is 61424.

It is a Smith number, since the sum of its digits (17) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 42394 and 42403.

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 3 ways as a sum of consecutive naturals, for example, 56 + ... + 296.

2⁴²⁴¹⁶ 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 42416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45012).

42416 is an abundant number, since it is smaller than the sum of its proper divisors (47608).

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

42416 is a wasteful number, since it uses less digits than its factorization.

42416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 254 counting only the distinct ones).

The product of its digits is 192, while the sum is 17.

The square root of 42416 is about 205.9514505897. The cubic root of 42416 is about 34.8746536709.

Subtracting from 42416 its product of digits (192), we obtain a palindrome (42224).

The spelling of 42416 in words is "forty-two thousand, four hundred sixteen".