9410964993 has 128 divisors (see below), whose sum is σ = 15932928000. Its totient is φ = 5528875968.

The previous prime is 9410964977. The next prime is 9410965007. The reversal of 9410964993 is 3994690149.

9410964993 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 9410964993 - 2⁴ = 9410964977 is a prime.

It is not an unprimeable number, because it can be changed into a prime (9410964973) 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 127 ways as a sum of consecutive naturals, for example, 41095803 + ... + 41096031.

It is an arithmetic number, because the mean of its divisors is an integer number (124476000).

Almost surely, 2^9410964993 is an apocalyptic number.

It is an amenable number.

9410964993 is a deficient number, since it is larger than the sum of its proper divisors (6521963007).

9410964993 is a wasteful number, since it uses less digits than its factorization.

9410964993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 1889568, while the sum is 54.

The square root of 9410964993 is about 97010.1283011212. The cubic root of 9410964993 is about 2111.2745825910.

The spelling of 9410964993 in words is "nine billion, four hundred ten million, nine hundred sixty-four thousand, nine hundred ninety-three".