4114440 has 96 divisors (see below), whose sum is σ = 14601600. Its totient is φ = 996480.

The previous prime is 4114421. The next prime is 4114463. The reversal of 4114440 is 444114.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3441 + ... + 4479.

It is an arithmetic number, because the mean of its divisors is an integer number (152100).

Almost surely, 2^4114440 is an apocalyptic number.

4114440 is a gapful number since it is divisible by the number (40) 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 4114440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7300800).

4114440 is an abundant number, since it is smaller than the sum of its proper divisors (10487160).

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

4114440 is a wasteful number, since it uses less digits than its factorization.

4114440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1067 (or 1060 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 4114440 is about 2028.4082429334. The cubic root of 4114440 is about 160.2397447526.

Adding to 4114440 its reverse (444114), we get a palindrome (4558554).

It can be divided in two parts, 4114 and 440, that added together give a palindrome (4554).

The spelling of 4114440 in words is "four million, one hundred fourteen thousand, four hundred forty".