4111440 has 80 divisors (see below), whose sum is σ = 13118208. Its totient is φ = 1064448.

The previous prime is 4111427. The next prime is 4111447. The reversal of 4111440 is 441114.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4111447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8649 + ... + 9111.

Almost surely, 2^4111440 is an apocalyptic number.

4111440 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 4111440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6559104).

4111440 is an abundant number, since it is smaller than the sum of its proper divisors (9006768).

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

4111440 is a wasteful number, since it uses less digits than its factorization.

4111440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 4111440 is about 2027.6686119778. The cubic root of 4111440 is about 160.2007895834.

Adding to 4111440 its reverse (441114), we get a palindrome (4552554).

The spelling of 4111440 in words is "four million, one hundred eleven thousand, four hundred forty".