9711881681040 has 2880 divisors, whose sum is σ = 45879783505920. Its totient is φ = 1883782656000.

The previous prime is 9711881681023. The next prime is 9711881681081. The reversal of 9711881681040 is 401861881179.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 9419865325 + ... + 9419866355.

It is an arithmetic number, because the mean of its divisors is an integer number (15930480384).

Almost surely, 2^{9711881681040} is an apocalyptic number.

9711881681040 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 9711881681040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22939891752960).

9711881681040 is an abundant number, since it is smaller than the sum of its proper divisors (36167901824880).

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

9711881681040 is a wasteful number, since it uses less digits than its factorization.

9711881681040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1144 (or 1119 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 54.

The spelling of 9711881681040 in words is "nine trillion, seven hundred eleven billion, eight hundred eighty-one million, six hundred eighty-one thousand, forty".