9825620422240 has 576 divisors, whose sum is σ = 28997220672000. Its totient is φ = 3136227849216.

The previous prime is 9825620422223. The next prime is 9825620422271. The reversal of 9825620422240 is 422240265289.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3629706967 + ... + 3629709673.

It is an arithmetic number, because the mean of its divisors is an integer number (50342397000).

Almost surely, 2^{9825620422240} 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 9825620422240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14498610336000).

9825620422240 is an abundant number, since it is smaller than the sum of its proper divisors (19171600249760).

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

9825620422240 is a wasteful number, since it uses less digits than its factorization.

9825620422240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2880 (or 2799 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 46.

The spelling of 9825620422240 in words is "nine trillion, eight hundred twenty-five billion, six hundred twenty million, four hundred twenty-two thousand, two hundred forty".