4114240 has 112 divisors (see below), whose sum is σ = 11265408. Its totient is φ = 1419264.

The previous prime is 4114223. The next prime is 4114249. The reversal of 4114240 is 424114.

4114240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4114249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95659 + ... + 95701.

It is an arithmetic number, because the mean of its divisors is an integer number (100584).

Almost surely, 2^4114240 is an apocalyptic number.

4114240 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 4114240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5632704).

4114240 is an abundant number, since it is smaller than the sum of its proper divisors (7151168).

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

4114240 is a wasteful number, since it uses less digits than its factorization.

4114240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 4114240 is about 2028.3589425937. The cubic root of 4114240 is about 160.2371483305.

Adding to 4114240 its reverse (424114), we get a palindrome (4538354).

It can be divided in two parts, 4 and 114240, that added together give a square (114244 = 338²).

The spelling of 4114240 in words is "four million, one hundred fourteen thousand, two hundred forty".