4131144 has 48 divisors (see below), whose sum is σ = 11285820. Its totient is φ = 1365120.

The previous prime is 4131109. The next prime is 4131223. The reversal of 4131144 is 4411314.

It can be written as a sum of positive squares in 2 ways, for example, as 2762244 + 1368900 = 1662^2 + 1170^2 .

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12874 + ... + 13190.

Almost surely, 2^4131144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4131144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5642910).

4131144 is an abundant number, since it is smaller than the sum of its proper divisors (7154676).

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

4131144 is a wasteful number, since it uses less digits than its factorization.

4131144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510 (or 503 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 4131144 is about 2032.5215866012. The cubic root of 4131144 is about 160.4563016099.

Adding to 4131144 its reverse (4411314), we get a palindrome (8542458).

The spelling of 4131144 in words is "four million, one hundred thirty-one thousand, one hundred forty-four".