4105422720 has 768 divisors, whose sum is σ = 17872358400. Its totient is φ = 846692352.

The previous prime is 4105422707. The next prime is 4105422757. The reversal of 4105422720 is 272245014.

4105422720 is a `hidden beast` number, since 410 + 5 + 4 + 227 + 20 = 666.

4105422720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17619724 + ... + 17619956.

It is an arithmetic number, because the mean of its divisors is an integer number (23271300).

Almost surely, 2^4105422720 is an apocalyptic number.

4105422720 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 4105422720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8936179200).

4105422720 is an abundant number, since it is smaller than the sum of its proper divisors (13766935680).

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

4105422720 is a wasteful number, since it uses less digits than its factorization.

4105422720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The square root of 4105422720 is about 64073.5727113761. The cubic root of 4105422720 is about 1601.2259770394.

Adding to 4105422720 its reverse (272245014), we get a palindrome (4377667734).

The spelling of 4105422720 in words is "four billion, one hundred five million, four hundred twenty-two thousand, seven hundred twenty".