10456044417 has 48 divisors (see below), whose sum is σ = 18759220480. Its totient is φ = 5464630656.

The previous prime is 10456044407. The next prime is 10456044419. The reversal of 10456044417 is 71444065401.

It is a happy number.

10456044417 is a `hidden beast` number, since 1 + 0 + 4 + 5 + 604 + 4 + 41 + 7 = 666.

10456044417 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 10456044417 - 2⁶ = 10456044353 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10456044419) 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 47 ways as a sum of consecutive naturals, for example, 30708 + ... + 147834.

Almost surely, 2^10456044417 is an apocalyptic number.

It is an amenable number.

10456044417 is a deficient number, since it is larger than the sum of its proper divisors (8303176063).

10456044417 is a wasteful number, since it uses less digits than its factorization.

10456044417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117262 (or 117259 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 10456044417 in words is "ten billion, four hundred fifty-six million, forty-four thousand, four hundred seventeen".