4810116960 has 672 divisors, whose sum is σ = 19514089728. Its totient is φ = 1108546560.

The previous prime is 4810116943. The next prime is 4810116967. The reversal of 4810116960 is 696110184.

It is a happy number.

4810116960 is a `hidden beast` number, since 481 + 0 + 116 + 9 + 60 = 666.

It is a super-3 number, since 3×4810116960³ (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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4810116967) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 29509839 + ... + 29510001.

It is an arithmetic number, because the mean of its divisors is an integer number (29038824).

Almost surely, 2^4810116960 is an apocalyptic number.

4810116960 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 4810116960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9757044864).

4810116960 is an abundant number, since it is smaller than the sum of its proper divisors (14703972768).

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

4810116960 is a wasteful number, since it uses less digits than its factorization.

4810116960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 4810116960 is about 69355.0067406817. The cubic root of 4810116960 is about 1688.0496342929.

The spelling of 4810116960 in words is "four billion, eight hundred ten million, one hundred sixteen thousand, nine hundred sixty".