9641226240 has 312 divisors, whose sum is σ = 35190501840. Its totient is φ = 2434793472.

The previous prime is 9641226223. The next prime is 9641226323. The reversal of 9641226240 is 426221469.

9641226240 is a `hidden beast` number, since 9 + 6 + 4 + 1 + 22 + 624 + 0 = 666.

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 = 9641226195 and 9641226204.

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 23 ways as a sum of consecutive naturals, for example, 3500704 + ... + 3503456.

It is an arithmetic number, because the mean of its divisors is an integer number (112790070).

Almost surely, 2^9641226240 is an apocalyptic number.

9641226240 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 9641226240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17595250920).

9641226240 is an abundant number, since it is smaller than the sum of its proper divisors (25549275600).

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

9641226240 is a wasteful number, since it uses less digits than its factorization.

9641226240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2807 (or 2782 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 9641226240 is about 98189.7461041630. The cubic root of 9641226240 is about 2128.3551143847.

The spelling of 9641226240 in words is "nine billion, six hundred forty-one million, two hundred twenty-six thousand, two hundred forty".