4114141344 has 144 divisors (see below), whose sum is σ = 11956744800. Its totient is φ = 1341577728.

The previous prime is 4114141327. The next prime is 4114141357. The reversal of 4114141344 is 4431414114.

It is a tau number, because it is divible by the number of its divisors (144).

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 23 ways as a sum of consecutive naturals, for example, 2604747 + ... + 2606325.

It is an arithmetic number, because the mean of its divisors is an integer number (83032950).

Almost surely, 2^4114141344 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 4114141344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5978372400).

4114141344 is an abundant number, since it is smaller than the sum of its proper divisors (7842603456).

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

4114141344 is a wasteful number, since it uses less digits than its factorization.

4114141344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1787 (or 1776 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 4114141344 is about 64141.5726654718. The cubic root of 4114141344 is about 1602.3586753646.

Adding to 4114141344 its reverse (4431414114), we get a palindrome (8545555458).

The spelling of 4114141344 in words is "four billion, one hundred fourteen million, one hundred forty-one thousand, three hundred forty-four".