42163416 has 144 divisors (see below), whose sum is σ = 126813960. Its totient is φ = 13115520.

The previous prime is 42163409. The next prime is 42163423. The reversal of 42163416 is 61436124.

42163416 is a `hidden beast` number, since 4 + 21 + 634 + 1 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (42163409) and next prime (42163423).

It is a Harshad number since it is a multiple of its sum of digits (27).

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

Its product of digits (3456) is a multiple of the sum of its prime factors (108).

It is a self number, because there is not a number n which added to its sum of digits gives 42163416.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1028356 + ... + 1028396.

Almost surely, 2^42163416 is an apocalyptic number.

42163416 is a gapful number since it is divisible by the number (46) 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 42163416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63406980).

42163416 is an abundant number, since it is smaller than the sum of its proper divisors (84650544).

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

42163416 is a wasteful number, since it uses less digits than its factorization.

42163416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 69 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 42163416 is about 6493.3362765223. The cubic root of 42163416 is about 348.0529051552.

The spelling of 42163416 in words is "forty-two million, one hundred sixty-three thousand, four hundred sixteen".