10004334410344 has 32 divisors (see below), whose sum is σ = 20058195256200. Its totient is φ = 4661308979200.

The previous prime is 10004334410341. The next prime is 10004334410347. The reversal of 10004334410344 is 44301443340001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10004334410341) and next prime (10004334410347).

It can be written as a sum of positive squares in 4 ways, for example, as 9994639644900 + 9694765444 = 3161430^2 + 98462^2 .

It is not an unprimeable number, because it can be changed into a prime (10004334410341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 364151029 + ... + 364178500.

Almost surely, 2^{10004334410344} is an apocalyptic number.

It is an amenable number.

10004334410344 is an abundant number, since it is smaller than the sum of its proper divisors (10053860845856).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10004334410344 is a wasteful number, since it uses less digits than its factorization.

10004334410344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 728329653 (or 728329649 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 31.

Adding to 10004334410344 its reverse (44301443340001), we get a palindrome (54305777750345).

The spelling of 10004334410344 in words is "ten trillion, four billion, three hundred thirty-four million, four hundred ten thousand, three hundred forty-four".