871041345984 has 392 divisors, whose sum is σ = 2684253825792. Its totient is φ = 280124490240.

The previous prime is 871041345983. The next prime is 871041346003. The reversal of 871041345984 is 489543140178.

871041345984 is a `hidden beast` number, since 8 + 7 + 1 + 0 + 41 + 3 + 4 + 598 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 871041345984.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (871041345983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 166512649 + ... + 166517879.

Almost surely, 2^871041345984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 871041345984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1342126912896).

871041345984 is an abundant number, since it is smaller than the sum of its proper divisors (1813212479808).

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

871041345984 is an equidigital number, since it uses as much as digits as its factorization.

871041345984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5387 (or 5362 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 871041345984 in words is "eight hundred seventy-one billion, forty-one million, three hundred forty-five thousand, nine hundred eighty-four".