10044759717409 has 64 divisors (see below), whose sum is σ = 10782929993472. Its totient is φ = 9345143808000.

The previous prime is 10044759717397. The next prime is 10044759717413. The reversal of 10044759717409 is 90471795744001.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10044759717409 is a prime.

It is a super-3 number, since 3×10044759717409³ (a number of 40 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10044759717469) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4955479854 + ... + 4955481880.

It is an arithmetic number, because the mean of its divisors is an integer number (168483281148).

Almost surely, 2^{10044759717409} is an apocalyptic number.

It is an amenable number.

10044759717409 is a deficient number, since it is larger than the sum of its proper divisors (738170276063).

10044759717409 is a wasteful number, since it uses less digits than its factorization.

10044759717409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2626.

The product of its (nonzero) digits is 8890560, while the sum is 58.

The spelling of 10044759717409 in words is "ten trillion, forty-four billion, seven hundred fifty-nine million, seven hundred seventeen thousand, four hundred nine".