4105751328 has 576 divisors, whose sum is σ = 15225235200. Its totient is φ = 1065996288.

The previous prime is 4105751297. The next prime is 4105751341. The reversal of 4105751328 is 8231575014.

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

It is a junction number, because it is equal to n+sod(n) for n = 4105751292 and 4105751301.

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, 141577618 + ... + 141577646.

It is an arithmetic number, because the mean of its divisors is an integer number (26432700).

Almost surely, 2^4105751328 is an apocalyptic number.

4105751328 is a gapful number since it is divisible by the number (48) 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 4105751328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7612617600).

4105751328 is an abundant number, since it is smaller than the sum of its proper divisors (11119483872).

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

4105751328 is an equidigital number, since it uses as much as digits as its factorization.

4105751328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 4105751328 is about 64076.1369622108. The cubic root of 4105751328 is about 1601.2686979043.

The spelling of 4105751328 in words is "four billion, one hundred five million, seven hundred fifty-one thousand, three hundred twenty-eight".