4214016 has 108 divisors (see below), whose sum is σ = 12754560. Its totient is φ = 1336320.

The previous prime is 4214009. The next prime is 4214051. The reversal of 4214016 is 6104124.

It is a super-3 number, since 3×4214016³ (a number of 21 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 4214016.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 71395 + ... + 71453.

Almost surely, 2^4214016 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 4214016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6377280).

4214016 is an abundant number, since it is smaller than the sum of its proper divisors (8540544).

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

4214016 is a wasteful number, since it uses less digits than its factorization.

4214016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 4214016 is about 2052.8068589129. The cubic root of 4214016 is about 161.5221400569.

The spelling of 4214016 in words is "four million, two hundred fourteen thousand, sixteen".