4105565352 has 480 divisors, whose sum is σ = 14275134720. Its totient is φ = 1097349120.

The previous prime is 4105565329. The next prime is 4105565363. The reversal of 4105565352 is 2535655014.

4105565352 is a `hidden beast` number, since 4 + 1 + 0 + 556 + 53 + 52 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 42325368 + ... + 42325464.

It is an arithmetic number, because the mean of its divisors is an integer number (29739864).

Almost surely, 2^4105565352 is an apocalyptic number.

4105565352 is a gapful number since it is divisible by the number (42) 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 4105565352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7137567360).

4105565352 is an abundant number, since it is smaller than the sum of its proper divisors (10169569368).

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

4105565352 is a wasteful number, since it uses less digits than its factorization.

4105565352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

The square root of 4105565352 is about 64074.6857346956. The cubic root of 4105565352 is about 1601.2445202715.

The spelling of 4105565352 in words is "four billion, one hundred five million, five hundred sixty-five thousand, three hundred fifty-two".