4911104160 has 216 divisors, whose sum is σ = 17804473596. Its totient is φ = 1232486400.

The previous prime is 4911104153. The next prime is 4911104171. The reversal of 4911104160 is 614011194.

4911104160 is a `hidden beast` number, since 491 + 1 + 10 + 4 + 160 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 3589927056 + 1321177104 = 59916^2 + 36348^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 410260 + ... + 422060.

Almost surely, 2^4911104160 is an apocalyptic number.

4911104160 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 4911104160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8902236798).

4911104160 is an abundant number, since it is smaller than the sum of its proper divisors (12893369436).

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

4911104160 is a wasteful number, since it uses less digits than its factorization.

4911104160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11856 (or 11828 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 4911104160 is about 70079.2705441488. The cubic root of 4911104160 is about 1699.7813052008.

The spelling of 4911104160 in words is "four billion, nine hundred eleven million, one hundred four thousand, one hundred sixty".