4105009152 has 192 divisors, whose sum is σ = 12369520800. Its totient is φ = 1344798720.

The previous prime is 4105009121. The next prime is 4105009163. The reversal of 4105009152 is 2519005014.

4105009152 is a `hidden beast` number, since 4 + 1 + 0 + 500 + 9 + 152 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×4105009152² = 33702200276007518208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3372448 + ... + 3373664.

Almost surely, 2^4105009152 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 4105009152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6184760400).

4105009152 is an abundant number, since it is smaller than the sum of its proper divisors (8264511648).

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

4105009152 is a wasteful number, since it uses less digits than its factorization.

4105009152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1309 (or 1283 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 4105009152 is about 64070.3453401025. The cubic root of 4105009152 is about 1601.1722076627.

The spelling of 4105009152 in words is "four billion, one hundred five million, nine thousand, one hundred fifty-two".