4105252704 has 192 divisors, whose sum is σ = 12943687680. Its totient is φ = 1113868800.

The previous prime is 4105252691. The next prime is 4105252733. The reversal of 4105252704 is 4072525014.

4105252704 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 31 ways as a sum of consecutive naturals, for example, 2332977 + ... + 2334735.

It is an arithmetic number, because the mean of its divisors is an integer number (67415040).

Almost surely, 2^4105252704 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 4105252704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6471843840).

4105252704 is an abundant number, since it is smaller than the sum of its proper divisors (8838434976).

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

4105252704 is a wasteful number, since it uses less digits than its factorization.

4105252704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1953 (or 1945 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 30.

The square root of 4105252704 is about 64072.2459728079. The cubic root of 4105252704 is about 1601.2038731204.

Adding to 4105252704 its reverse (4072525014), we get a palindrome (8177777718).

The spelling of 4105252704 in words is "four billion, one hundred five million, two hundred fifty-two thousand, seven hundred four".