10002044224341 has 40 divisors (see below), whose sum is σ = 16125868133144. Its totient is φ = 6141635343360.

The previous prime is 10002044224303. The next prime is 10002044224363. The reversal of 10002044224341 is 14342244020001.

10002044224341 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 204 + 4 + 22 + 434 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3656451474225 + 6345592750116 = 1912185^2 + 2519046^2 .

It is not a de Polignac number, because 10002044224341 - 2¹⁴ = 10002044207957 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10002044224741) 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 39 ways as a sum of consecutive naturals, for example, 9911140 + ... + 10873581.

Almost surely, 2^{10002044224341} is an apocalyptic number.

It is an amenable number.

10002044224341 is a deficient number, since it is larger than the sum of its proper divisors (6123823908803).

10002044224341 is a wasteful number, since it uses less digits than its factorization.

10002044224341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20785203 (or 20785194 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 10002044224341 its reverse (14342244020001), we get a palindrome (24344288244342).

The spelling of 10002044224341 in words is "ten trillion, two billion, forty-four million, two hundred twenty-four thousand, three hundred forty-one".