4801181440 has 288 divisors, whose sum is σ = 13404061440. Its totient is φ = 1629388800.

The previous prime is 4801181431. The next prime is 4801181447. The reversal of 4801181440 is 441811084.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4801181447) 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 31 ways as a sum of consecutive naturals, for example, 35045052 + ... + 35045188.

It is an arithmetic number, because the mean of its divisors is an integer number (46541880).

Almost surely, 2^4801181440 is an apocalyptic number.

4801181440 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 4801181440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6702030720).

4801181440 is an abundant number, since it is smaller than the sum of its proper divisors (8602880000).

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

4801181440 is a wasteful number, since it uses less digits than its factorization.

4801181440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 31.

The square root of 4801181440 is about 69290.5580869428. The cubic root of 4801181440 is about 1687.0037171792.

The spelling of 4801181440 in words is "four billion, eight hundred one million, one hundred eighty-one thousand, four hundred forty".