8341688289440 has 288 divisors, whose sum is σ = 22867824692160. Its totient is φ = 2865366282240.

The previous prime is 8341688289427. The next prime is 8341688289479. The reversal of 8341688289440 is 449828861438.

It is a Smith number, since the sum of its digits (65) coincides with the sum of the digits of its prime factors.

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 47 ways as a sum of consecutive naturals, for example, 127607804 + ... + 127673156.

It is an arithmetic number, because the mean of its divisors is an integer number (79402169070).

Almost surely, 2^{8341688289440} is an apocalyptic number.

8341688289440 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 8341688289440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11433912346080).

8341688289440 is an abundant number, since it is smaller than the sum of its proper divisors (14526136402720).

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

8341688289440 is a wasteful number, since it uses less digits than its factorization.

8341688289440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65756 (or 65737 counting only the distinct ones).

The product of its (nonzero) digits is 84934656, while the sum is 65.

The spelling of 8341688289440 in words is "eight trillion, three hundred forty-one billion, six hundred eighty-eight million, two hundred eighty-nine thousand, four hundred forty".