4810085280 has 1152 divisors, whose sum is σ = 22824861696. Its totient is φ = 890265600.

The previous prime is 4810085279. The next prime is 4810085297. The reversal of 4810085280 is 825800184.

It is a super-3 number, since 3×4810085280³ (a number of 30 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 67747645 + ... + 67747715.

It is an arithmetic number, because the mean of its divisors is an integer number (19813248).

Almost surely, 2^4810085280 is an apocalyptic number.

4810085280 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 4810085280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11412430848).

4810085280 is an abundant number, since it is smaller than the sum of its proper divisors (18014776416).

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

4810085280 is a wasteful number, since it uses less digits than its factorization.

4810085280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The square root of 4810085280 is about 69354.7783501613. The cubic root of 4810085280 is about 1688.0459283865.

The spelling of 4810085280 in words is "four billion, eight hundred ten million, eighty-five thousand, two hundred eighty".