4105721160 has 192 divisors, whose sum is σ = 13578364800. Its totient is φ = 1075756032.

The previous prime is 4105721129. The next prime is 4105721167. The reversal of 4105721160 is 611275014.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (4105721167) 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, 9352221 + ... + 9352659.

It is an arithmetic number, because the mean of its divisors is an integer number (70720650).

Almost surely, 2^4105721160 is an apocalyptic number.

4105721160 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 4105721160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6789182400).

4105721160 is an abundant number, since it is smaller than the sum of its proper divisors (9472643640).

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

4105721160 is a wasteful number, since it uses less digits than its factorization.

4105721160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 852 (or 845 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 4105721160 is about 64075.9015543285. The cubic root of 4105721160 is about 1601.2647759918.

Adding to 4105721160 its reverse (611275014), we get a palindrome (4716996174).

The spelling of 4105721160 in words is "four billion, one hundred five million, seven hundred twenty-one thousand, one hundred sixty".