4105729404 has 288 divisors, whose sum is σ = 13237862400. Its totient is φ = 1094808960.

The previous prime is 4105729391. The next prime is 4105729423. The reversal of 4105729404 is 4049275014.

It is a happy number.

4105729404 is a `hidden beast` number, since 41 + 0 + 572 + 9 + 40 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4757077 + ... + 4757939.

It is an arithmetic number, because the mean of its divisors is an integer number (45964800).

Almost surely, 2^4105729404 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 4105729404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6618931200).

4105729404 is an abundant number, since it is smaller than the sum of its proper divisors (9132132996).

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

4105729404 is a wasteful number, since it uses less digits than its factorization.

4105729404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 950 (or 935 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 4105729404 is about 64075.9658842534. The cubic root of 4105729404 is about 1601.2658477335.

The spelling of 4105729404 in words is "four billion, one hundred five million, seven hundred twenty-nine thousand, four hundred four".