4158895104 has 880 divisors, whose sum is σ = 16644566400. Its totient is φ = 1003290624.

The previous prime is 4158895093. The next prime is 4158895187. The reversal of 4158895104 is 4015988514.

It is a happy number.

4158895104 is a `hidden beast` number, since 4 + 1 + 58 + 89 + 510 + 4 = 666.

4158895104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 4158895104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 143410162 + ... + 143410190.

It is an arithmetic number, because the mean of its divisors is an integer number (18914280).

Almost surely, 2^4158895104 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 4158895104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8322283200).

4158895104 is an abundant number, since it is smaller than the sum of its proper divisors (12485671296).

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

4158895104 is a wasteful number, since it uses less digits than its factorization.

4158895104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 45.

The square root of 4158895104 is about 64489.4960749423. The cubic root of 4158895104 is about 1608.1479035262.

The spelling of 4158895104 in words is "four billion, one hundred fifty-eight million, eight hundred ninety-five thousand, one hundred four".