4105322144 has 96 divisors (see below), whose sum is σ = 10311307776. Its totient is φ = 1562238720.

The previous prime is 4105322119. The next prime is 4105322189. The reversal of 4105322144 is 4412235014.

4105322144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86579 + ... + 125325.

It is an arithmetic number, because the mean of its divisors is an integer number (107409456).

Almost surely, 2^4105322144 is an apocalyptic number.

4105322144 is a gapful number since it is divisible by the number (44) 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 4105322144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5155653888).

4105322144 is an abundant number, since it is smaller than the sum of its proper divisors (6205985632).

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

4105322144 is a wasteful number, since it uses less digits than its factorization.

4105322144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38818 (or 38810 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

The square root of 4105322144 is about 64072.7878588095. The cubic root of 4105322144 is about 1601.2129011453.

Adding to 4105322144 its reverse (4412235014), we get a palindrome (8517557158).

The spelling of 4105322144 in words is "four billion, one hundred five million, three hundred twenty-two thousand, one hundred forty-four".