4131216 has 80 divisors (see below), whose sum is σ = 12112320. Its totient is φ = 1347840.

The previous prime is 4131109. The next prime is 4131223. The reversal of 4131216 is 6121314.

It is a happy number.

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is an Ulam number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31471 + ... + 31601.

It is an arithmetic number, because the mean of its divisors is an integer number (151404).

Almost surely, 2^4131216 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 4131216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6056160).

4131216 is an abundant number, since it is smaller than the sum of its proper divisors (7981104).

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

4131216 is a wasteful number, since it uses less digits than its factorization.

4131216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 209 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 4131216 is about 2032.5392985131. The cubic root of 4131216 is about 160.4572337799.

It can be divided in two parts, 41312 and 16, that added together give a triangular number (41328 = T₂₈₇).

The spelling of 4131216 in words is "four million, one hundred thirty-one thousand, two hundred sixteen".