9811470240 has 1152 divisors, whose sum is σ = 42796615680. Its totient is φ = 2012774400.

The previous prime is 9811470199. The next prime is 9811470259. The reversal of 9811470240 is 420741189.

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 = 9811470195 and 9811470204.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 185122054 + ... + 185122106.

It is an arithmetic number, because the mean of its divisors is an integer number (37149840).

Almost surely, 2^9811470240 is an apocalyptic number.

9811470240 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 9811470240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21398307840).

9811470240 is an abundant number, since it is smaller than the sum of its proper divisors (32985145440).

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

9811470240 is a wasteful number, since it uses less digits than its factorization.

9811470240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 9811470240 is about 99052.8658848395. The cubic root of 9811470240 is about 2140.8095344679.

The spelling of 9811470240 in words is "nine billion, eight hundred eleven million, four hundred seventy thousand, two hundred forty".