9808122240 has 1152 divisors, whose sum is σ = 43535232000. Its totient is φ = 2020515840.

The previous prime is 9808122223. The next prime is 9808122287. The reversal of 9808122240 is 422218089.

It is a tau number, because it is divible by the number of its divisors (1152).

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 = 9808122195 and 9808122204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 166239331 + ... + 166239389.

It is an arithmetic number, because the mean of its divisors is an integer number (37791000).

Almost surely, 2^9808122240 is an apocalyptic number.

9808122240 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 9808122240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21767616000).

9808122240 is an abundant number, since it is smaller than the sum of its proper divisors (33727109760).

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

9808122240 is a wasteful number, since it uses less digits than its factorization.

9808122240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 9808122240 is about 99035.9643765839. The cubic root of 9808122240 is about 2140.5660016247.

The spelling of 9808122240 in words is "nine billion, eight hundred eight million, one hundred twenty-two thousand, two hundred forty".