9946285440 has 768 divisors, whose sum is σ = 40856140800. Its totient is φ = 2012774400.

The previous prime is 9946285429. The next prime is 9946285441. The reversal of 9946285440 is 445826499.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9946285441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 65869365 + ... + 65869515.

It is an arithmetic number, because the mean of its divisors is an integer number (53198100).

Almost surely, 2^9946285440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9946285440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20428070400).

9946285440 is an abundant number, since it is smaller than the sum of its proper divisors (30909855360).

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

9946285440 is a wasteful number, since it uses less digits than its factorization.

9946285440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 51.

The square root of 9946285440 is about 99731.0655713655. The cubic root of 9946285440 is about 2150.5702788649.

The spelling of 9946285440 in words is "nine billion, nine hundred forty-six million, two hundred eighty-five thousand, four hundred forty".