9830442240 has 216 divisors, whose sum is σ = 35110752768. Its totient is φ = 2536796160.

The previous prime is 9830442221. The next prime is 9830442241. The reversal of 9830442240 is 422440389.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 9830442195 and 9830442204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9830442241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 343357 + ... + 370883.

Almost surely, 2^9830442240 is an apocalyptic number.

9830442240 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 9830442240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17555376384).

9830442240 is an abundant number, since it is smaller than the sum of its proper divisors (25280310528).

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

9830442240 is a wasteful number, since it uses less digits than its factorization.

9830442240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27585 (or 27568 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 9830442240 is about 99148.5866767651. The cubic root of 9830442240 is about 2142.1885084929.

The spelling of 9830442240 in words is "nine billion, eight hundred thirty million, four hundred forty-two thousand, two hundred forty".