4882131271680 has 1440 divisors, whose sum is σ = 17987931698688. Its totient is φ = 1128687206400.

The previous prime is 4882131271649. The next prime is 4882131271711. The reversal of 4882131271680 is 861721312884.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4882131271649) and next prime (4882131271711).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 80034938850 + ... + 80034938910.

Almost surely, 2^{4882131271680} is an apocalyptic number.

4882131271680 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 4882131271680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8993965849344).

4882131271680 is an abundant number, since it is smaller than the sum of its proper divisors (13105800427008).

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

4882131271680 is a wasteful number, since it uses less digits than its factorization.

4882131271680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 51.

The spelling of 4882131271680 in words is "four trillion, eight hundred eighty-two billion, one hundred thirty-one million, two hundred seventy-one thousand, six hundred eighty".