4214144 has 64 divisors (see below), whose sum is σ = 9510480. Its totient is φ = 1843200.

The previous prime is 4214131. The next prime is 4214173. The reversal of 4214144 is 4414124.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57692 + ... + 57764.

Almost surely, 2^4214144 is an apocalyptic number.

4214144 is a gapful number since it is divisible by the number (44) 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 4214144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4755240).

4214144 is an abundant number, since it is smaller than the sum of its proper divisors (5296336).

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

4214144 is a wasteful number, since it uses less digits than its factorization.

4214144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 127 counting only the distinct ones).

The product of its digits is 512, while the sum is 20.

The square root of 4214144 is about 2052.8380355011. The cubic root of 4214144 is about 161.5237754426.

Subtracting from 4214144 its sum of digits (20), we obtain a palindrome (4214124).

Adding to 4214144 its reverse (4414124), we get a palindrome (8628268).

The spelling of 4214144 in words is "four million, two hundred fourteen thousand, one hundred forty-four".