10004442033409 has 12 divisors (see below), whose sum is σ = 10458831622932. Its totient is φ = 9569007087200.

The previous prime is 10004442033407. The next prime is 10004442033427. The reversal of 10004442033409 is 90433024440001.

It can be written as a sum of positive squares in 2 ways, for example, as 9169177644225 + 835264389184 = 3028065^2 + 913928^2 .

It is not a de Polignac number, because 10004442033409 - 2¹ = 10004442033407 is a prime.

It is a super-2 number, since 2×10004442033409² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10004442033401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10846299 + ... + 11732479.

It is an arithmetic number, because the mean of its divisors is an integer number (871569301911).

Almost surely, 2^{10004442033409} is an apocalyptic number.

It is an amenable number.

10004442033409 is a deficient number, since it is larger than the sum of its proper divisors (454389589523).

10004442033409 is an equidigital number, since it uses as much as digits as its factorization.

10004442033409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 907568 (or 907545 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 34.

The spelling of 10004442033409 in words is "ten trillion, four billion, four hundred forty-two million, thirty-three thousand, four hundred nine".