8004871311840 has 288 divisors, whose sum is σ = 29790286081920. Its totient is φ = 1945487351808.

The previous prime is 8004871311751. The next prime is 8004871311869. The reversal of 8004871311840 is 481131784008.

8004871311840 is a `hidden beast` number, since 8 + 0 + 0 + 487 + 13 + 118 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1227517 + ... + 4185276.

It is an arithmetic number, because the mean of its divisors is an integer number (103438493340).

Almost surely, 2^{8004871311840} is an apocalyptic number.

8004871311840 is a gapful number since it is divisible by the number (80) 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 8004871311840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14895143040960).

8004871311840 is an abundant number, since it is smaller than the sum of its proper divisors (21785414770080).

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

8004871311840 is a wasteful number, since it uses less digits than its factorization.

8004871311840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5412906 (or 5412895 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 45.

The spelling of 8004871311840 in words is "eight trillion, four billion, eight hundred seventy-one million, three hundred eleven thousand, eight hundred forty".