9794442240 has 880 divisors, whose sum is σ = 40660297920. Its totient is φ = 2229534720.

The previous prime is 9794442233. The next prime is 9794442253. The reversal of 9794442240 is 422444979.

It is a tau number, because it is divible by the number of its divisors (880).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 86676424 + ... + 86676536.

It is an arithmetic number, because the mean of its divisors is an integer number (46204884).

Almost surely, 2^9794442240 is an apocalyptic number.

9794442240 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 9794442240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20330148960).

9794442240 is an abundant number, since it is smaller than the sum of its proper divisors (30865855680).

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

9794442240 is a wasteful number, since it uses less digits than its factorization.

9794442240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 9794442240 is about 98966.8744580731. The cubic root of 9794442240 is about 2139.5703449301.

The spelling of 9794442240 in words is "nine billion, seven hundred ninety-four million, four hundred forty-two thousand, two hundred forty".