9941027616 has 480 divisors, whose sum is σ = 33440698368. Its totient is φ = 2874009600.

The previous prime is 9941027597. The next prime is 9941027633. The reversal of 9941027616 is 6167201499.

9941027616 is a `hidden beast` number, since 9 + 9 + 4 + 1 + 0 + 27 + 616 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 78275745 + ... + 78275871.

Almost surely, 2^9941027616 is an apocalyptic number.

9941027616 is a gapful number since it is divisible by the number (96) 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 9941027616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16720349184).

9941027616 is an abundant number, since it is smaller than the sum of its proper divisors (23499670752).

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

9941027616 is a wasteful number, since it uses less digits than its factorization.

9941027616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 9941027616 is about 99704.7020756795. The cubic root of 9941027616 is about 2150.1912659120.

The spelling of 9941027616 in words is "nine billion, nine hundred forty-one million, twenty-seven thousand, six hundred sixteen".