4114944 has 120 divisors (see below), whose sum is σ = 12767040. Its totient is φ = 1271808.

The previous prime is 4114931. The next prime is 4114951. The reversal of 4114944 is 4494114.

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 unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 87529 + ... + 87575.

It is an arithmetic number, because the mean of its divisors is an integer number (106392).

Almost surely, 2^4114944 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 4114944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6383520).

4114944 is an abundant number, since it is smaller than the sum of its proper divisors (8652096).

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

4114944 is a wasteful number, since it uses less digits than its factorization.

4114944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 71 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 4114944 is about 2028.5324744751. The cubic root of 4114944 is about 160.2462873630.

The spelling of 4114944 in words is "four million, one hundred fourteen thousand, nine hundred forty-four".