4140360 has 192 divisors, whose sum is σ = 16174080. Its totient is φ = 898560.

The previous prime is 4140287. The next prime is 4140361. The reversal of 4140360 is 630414.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4140361) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 78094 + ... + 78146.

It is an arithmetic number, because the mean of its divisors is an integer number (84240).

Almost surely, 2^4140360 is an apocalyptic number.

4140360 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 4140360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8087040).

4140360 is an abundant number, since it is smaller than the sum of its proper divisors (12033720).

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

4140360 is a wasteful number, since it uses less digits than its factorization.

4140360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 4140360 is about 2034.7874581882. The cubic root of 4140360 is about 160.5755314566.

Adding to 4140360 its reverse (630414), we get a palindrome (4770774).

It can be divided in two parts, 41 and 40360, that added together give a square (40401 = 201²).

The spelling of 4140360 in words is "four million, one hundred forty thousand, three hundred sixty".