4105506384 has 360 divisors, whose sum is σ = 14096720768. Its totient is φ = 1133740800.

The previous prime is 4105506373. The next prime is 4105506401. The reversal of 4105506384 is 4836055014.

It is a happy number.

4105506384 is a `hidden beast` number, since 4 + 10 + 5 + 5 + 0 + 638 + 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 polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 27188709 + ... + 27188859.

Almost surely, 2^4105506384 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 4105506384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7048360384).

4105506384 is an abundant number, since it is smaller than the sum of its proper divisors (9991214384).

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

4105506384 is an equidigital number, since it uses as much as digits as its factorization.

4105506384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 4105506384 is about 64074.2255825226. The cubic root of 4105506384 is about 1601.2368540403.

The spelling of 4105506384 in words is "four billion, one hundred five million, five hundred six thousand, three hundred eighty-four".