9845350919040 has 3072 divisors, whose sum is σ = 43320904704000. Its totient is φ = 1878271524864.

The previous prime is 9845350919011. The next prime is 9845350919189. The reversal of 9845350919040 is 409190535489.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

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 383 ways as a sum of consecutive naturals, for example, 58954197037 + ... + 58954197203.

It is an arithmetic number, because the mean of its divisors is an integer number (14101857000).

Almost surely, 2^{9845350919040} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9845350919040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21660452352000).

9845350919040 is an abundant number, since it is smaller than the sum of its proper divisors (33475553784960).

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

9845350919040 is a wasteful number, since it uses less digits than its factorization.

9845350919040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 57.

The spelling of 9845350919040 in words is "nine trillion, eight hundred forty-five billion, three hundred fifty million, nine hundred nineteen thousand, forty".