9957682391040 has 768 divisors, whose sum is σ = 35811124876800. Its totient is φ = 2624480870400.

The previous prime is 9957682391009. The next prime is 9957682391117. The reversal of 9957682391040 is 401932867599.

9957682391040 is a `hidden beast` number, since 9 + 9 + 576 + 8 + 2 + 3 + 9 + 10 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9658275325 + ... + 9658276355.

It is an arithmetic number, because the mean of its divisors is an integer number (46629068850).

It is a 2-persistent number, because it is pandigital, and so is 2⋅9957682391040 = 19915364782080, but 3⋅9957682391040 = 29873047173120 is not.

Almost surely, 2^{9957682391040} is an apocalyptic number.

9957682391040 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 9957682391040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17905562438400).

9957682391040 is an abundant number, since it is smaller than the sum of its proper divisors (25853442485760).

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

9957682391040 is a wasteful number, since it uses less digits than its factorization.

9957682391040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1441 (or 1415 counting only the distinct ones).

The product of its (nonzero) digits is 29393280, while the sum is 63.

The spelling of 9957682391040 in words is "nine trillion, nine hundred fifty-seven billion, six hundred eighty-two million, three hundred ninety-one thousand, forty".