4801090560 has 264 divisors, whose sum is σ = 17865888480. Its totient is φ = 1097220096.

The previous prime is 4801090549. The next prime is 4801090573. The reversal of 4801090560 is 650901084.

It is a super-2 number, since 2×4801090560² = 46100941130642227200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 749451 + ... + 755829.

It is an arithmetic number, because the mean of its divisors is an integer number (67673820).

Almost surely, 2^4801090560 is an apocalyptic number.

4801090560 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 4801090560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8932944240).

4801090560 is an abundant number, since it is smaller than the sum of its proper divisors (13064797920).

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

4801090560 is a wasteful number, since it uses less digits than its factorization.

4801090560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6421 (or 6396 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 4801090560 is about 69289.9022946345. The cubic root of 4801090560 is about 1686.9930728640.

The spelling of 4801090560 in words is "four billion, eight hundred one million, ninety thousand, five hundred sixty".