10000442410433 has 16 divisors (see below), whose sum is σ = 10304713219536. Its totient is φ = 9697967585280.

The previous prime is 10000442410417. The next prime is 10000442410531. The reversal of 10000442410433 is 33401424400001.

It can be written as a sum of positive squares in 8 ways, for example, as 67108864 + 10000375301569 = 8192^2 + 3162337^2 .

It is a cyclic number.

It is not a de Polignac number, because 10000442410433 - 2⁴ = 10000442410417 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10000442410733) 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 15 ways as a sum of consecutive naturals, for example, 112673513 + ... + 112762233.

It is an arithmetic number, because the mean of its divisors is an integer number (644044576221).

Almost surely, 2^{10000442410433} is an apocalyptic number.

It is an amenable number.

10000442410433 is a deficient number, since it is larger than the sum of its proper divisors (304270809103).

10000442410433 is an equidigital number, since it uses as much as digits as its factorization.

10000442410433 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98804.

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 10000442410433 its reverse (33401424400001), we get a palindrome (43401866810434).

The spelling of 10000442410433 in words is "ten trillion, four hundred forty-two million, four hundred ten thousand, four hundred thirty-three".