4841191296 has 192 divisors, whose sum is σ = 14584302720. Its totient is φ = 1539772416.

The previous prime is 4841191283. The next prime is 4841191301. The reversal of 4841191296 is 6921911484.

It is a happy number.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 2258001 + ... + 2260143.

It is an arithmetic number, because the mean of its divisors is an integer number (75959910).

Almost surely, 2^4841191296 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 4841191296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7292151360).

4841191296 is an abundant number, since it is smaller than the sum of its proper divisors (9743111424).

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

4841191296 is a wasteful number, since it uses less digits than its factorization.

4841191296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2253 (or 2238 counting only the distinct ones).

The product of its digits is 124416, while the sum is 45.

The square root of 4841191296 is about 69578.6698349429. The cubic root of 4841191296 is about 1691.6768827854.

The spelling of 4841191296 in words is "four billion, eight hundred forty-one million, one hundred ninety-one thousand, two hundred ninety-six".