4541160960 has 480 divisors, whose sum is σ = 18484120512. Its totient is φ = 1008599040.

The previous prime is 4541160941. The next prime is 4541160961. The reversal of 4541160960 is 690611454.

4541160960 is a `hidden beast` number, since 4 + 5 + 41 + 1 + 609 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4541160961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5966980 + ... + 5967740.

Almost surely, 2^4541160960 is an apocalyptic number.

4541160960 is a gapful number since it is divisible by the number (40) 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 4541160960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9242060256).

4541160960 is an abundant number, since it is smaller than the sum of its proper divisors (13942959552).

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

4541160960 is a wasteful number, since it uses less digits than its factorization.

4541160960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 834 (or 815 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 4541160960 is about 67388.1366414000. The cubic root of 4541160960 is about 1655.9820764006.

The spelling of 4541160960 in words is "four billion, five hundred forty-one million, one hundred sixty thousand, nine hundred sixty".