9882304871040 has 1024 divisors, whose sum is σ = 40684208947200. Its totient is φ = 2248186171392.

The previous prime is 9882304871003. The next prime is 9882304871051. The reversal of 9882304871040 is 401784032889.

It is a happy number.

9882304871040 is a `hidden beast` number, since 9 + 8 + 82 + 30 + 487 + 10 + 40 = 666.

9882304871040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×9882304871040² (a number of 27 digits) contains 22 as substring.

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

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, 2184898219 + ... + 2184902741.

It is an arithmetic number, because the mean of its divisors is an integer number (39730672800).

Almost surely, 2^{9882304871040} is an apocalyptic number.

9882304871040 is a gapful number since it is divisible by the number (90) 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 9882304871040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20342104473600).

9882304871040 is an abundant number, since it is smaller than the sum of its proper divisors (30801904076160).

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

9882304871040 is an equidigital number, since it uses as much as digits as its factorization.

9882304871040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4793 (or 4763 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 9882304871040 in words is "nine trillion, eight hundred eighty-two billion, three hundred four million, eight hundred seventy-one thousand, forty".