9840428559360 has 792 divisors, whose sum is σ = 39739241361456. Its totient is φ = 2244955668480.

The previous prime is 9840428559331. The next prime is 9840428559371. The reversal of 9840428559360 is 639558240489.

9840428559360 is a `hidden beast` number, since 9 + 8 + 4 + 0 + 42 + 8 + 559 + 36 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1271205090 + ... + 1271212830.

Almost surely, 2^{9840428559360} is an apocalyptic number.

9840428559360 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 9840428559360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19869620680728).

9840428559360 is an abundant number, since it is smaller than the sum of its proper divisors (29898812802096).

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

9840428559360 is a wasteful number, since it uses less digits than its factorization.

9840428559360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8349 (or 8321 counting only the distinct ones).

The product of its (nonzero) digits is 74649600, while the sum is 63.

The spelling of 9840428559360 in words is "nine trillion, eight hundred forty billion, four hundred twenty-eight million, five hundred fifty-nine thousand, three hundred sixty".