9917041641 has 8 divisors (see below), whose sum is σ = 14239854720. Its totient is φ = 6102794832.

The previous prime is 9917041627. The next prime is 9917041643. The reversal of 9917041641 is 1461407199.

9917041641 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 9917041641 - 2¹⁵ = 9917008873 is a prime.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a junction number, because it is equal to n+sod(n) for n = 9917041593 and 9917041602.

It is not an unprimeable number, because it can be changed into a prime (9917041643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 127141521 + ... + 127141598.

It is an arithmetic number, because the mean of its divisors is an integer number (1779981840).

Almost surely, 2^9917041641 is an apocalyptic number.

It is an amenable number.

9917041641 is a deficient number, since it is larger than the sum of its proper divisors (4322813079).

9917041641 is a wasteful number, since it uses less digits than its factorization.

9917041641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254283135.

The product of its (nonzero) digits is 54432, while the sum is 42.

The square root of 9917041641 is about 99584.3443569319. The cubic root of 9917041641 is about 2148.4605270089.

It can be divided in two parts, 991704 and 1641, that added together give a triangular number (993345 = T₁₄₀₉).

The spelling of 9917041641 in words is "nine billion, nine hundred seventeen million, forty-one thousand, six hundred forty-one".