9800442960 has 640 divisors, whose sum is σ = 39426048000. Its totient is φ = 1996001280.

The previous prime is 9800442941. The next prime is 9800442983. The reversal of 9800442960 is 692440089.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 71536012 + ... + 71536148.

It is an arithmetic number, because the mean of its divisors is an integer number (61603200).

Almost surely, 2^9800442960 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 9800442960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19713024000).

9800442960 is an abundant number, since it is smaller than the sum of its proper divisors (29625605040).

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

9800442960 is a wasteful number, since it uses less digits than its factorization.

9800442960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 9800442960 is about 98997.1866266916. The cubic root of 9800442960 is about 2140.0072029338.

The spelling of 9800442960 in words is "nine billion, eight hundred million, four hundred forty-two thousand, nine hundred sixty".