4105385680 has 80 divisors (see below), whose sum is σ = 10555556544. Its totient is φ = 1472394240.

The previous prime is 4105385659. The next prime is 4105385693. The reversal of 4105385680 is 865835014.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32287 + ... + 96193.

Almost surely, 2^4105385680 is an apocalyptic number.

4105385680 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 4105385680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5277778272).

4105385680 is an abundant number, since it is smaller than the sum of its proper divisors (6450170864).

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

4105385680 is a wasteful number, since it uses less digits than its factorization.

4105385680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64004 (or 63998 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 40.

The square root of 4105385680 is about 64073.2836680000. The cubic root of 4105385680 is about 1601.2211614908.

The spelling of 4105385680 in words is "four billion, one hundred five million, three hundred eighty-five thousand, six hundred eighty".