9117216829440 has 1248 divisors, whose sum is σ = 34339305701376. Its totient is φ = 2229094318080.

The previous prime is 9117216829439. The next prime is 9117216829447. The reversal of 9117216829440 is 449286127119.

9117216829440 is a `hidden beast` number, since 9 + 1 + 17 + 2 + 168 + 29 + 440 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9117216829447) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23804743489 + ... + 23804743871.

It is an arithmetic number, because the mean of its divisors is an integer number (27515469312).

Almost surely, 2^{9117216829440} is an apocalyptic number.

9117216829440 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 9117216829440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17169652850688).

9117216829440 is an abundant number, since it is smaller than the sum of its proper divisors (25222088871936).

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

9117216829440 is a wasteful number, since it uses less digits than its factorization.

9117216829440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 613 (or 588 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 9117216829440 in words is "nine trillion, one hundred seventeen billion, two hundred sixteen million, eight hundred twenty-nine thousand, four hundred forty".