4131440 has 40 divisors (see below), whose sum is σ = 9837168. Its totient is φ = 1612800.

The previous prime is 4131409. The next prime is 4131443. The reversal of 4131440 is 441314.

4131440 is nontrivially palindromic in base 7.

4131440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4131443) 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 7 ways as a sum of consecutive naturals, for example, 2840 + ... + 4040.

Almost surely, 2^4131440 is an apocalyptic number.

4131440 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 4131440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4918584).

4131440 is an abundant number, since it is smaller than the sum of its proper divisors (5705728).

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

4131440 is a wasteful number, since it uses less digits than its factorization.

4131440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1257 (or 1251 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 4131440 is about 2032.5944012518. The cubic root of 4131440 is about 160.4601337954.

Adding to 4131440 its reverse (441314), we get a palindrome (4572754).

The spelling of 4131440 in words is "four million, one hundred thirty-one thousand, four hundred forty".