4871166840960 has 1024 divisors, whose sum is σ = 18697574891520. Its totient is φ = 1055675252736.

The previous prime is 4871166840871. The next prime is 4871166840971. The reversal of 4871166840960 is 690486611784.

It is a super-3 number, since 3×4871166840960³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 4871166840894 and 4871166840903.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2778759444 + ... + 2778761196.

It is an arithmetic number, because the mean of its divisors is an integer number (18259350480).

Almost surely, 2^{4871166840960} is an apocalyptic number.

4871166840960 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 4871166840960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9348787445760).

4871166840960 is an abundant number, since it is smaller than the sum of its proper divisors (13826408050560).

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

4871166840960 is a wasteful number, since it uses less digits than its factorization.

4871166840960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1965 (or 1953 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 60.

The spelling of 4871166840960 in words is "four trillion, eight hundred seventy-one billion, one hundred sixty-six million, eight hundred forty thousand, nine hundred sixty".