4105320401 has 24 divisors (see below), whose sum is σ = 5146994664. Its totient is φ = 3245598720.

The previous prime is 4105320389. The next prime is 4105320409. The reversal of 4105320401 is 1040235014.

It can be written as a sum of positive squares in 4 ways, for example, as 1062694801 + 3042625600 = 32599^2 + 55160^2 .

It is not a de Polignac number, because 4105320401 - 2²² = 4101126097 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4105320409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1489841 + ... + 1492593.

It is an arithmetic number, because the mean of its divisors is an integer number (214458111).

Almost surely, 2^4105320401 is an apocalyptic number.

It is an amenable number.

4105320401 is a deficient number, since it is larger than the sum of its proper divisors (1041674263).

4105320401 is a wasteful number, since it uses less digits than its factorization.

4105320401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5121 (or 5114 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 4105320401 is about 64072.7742570899. The cubic root of 4105320401 is about 1601.2126745358.

Adding to 4105320401 its reverse (1040235014), we get a palindrome (5145555415).

The spelling of 4105320401 in words is "four billion, one hundred five million, three hundred twenty thousand, four hundred one".