10034322410344 has 128 divisors (see below), whose sum is σ = 20467342375200. Its totient is φ = 4593254400000.

The previous prime is 10034322410311. The next prime is 10034322410347. The reversal of 10034322410344 is 44301422343001.

It can be written as a sum of positive squares in 16 ways, for example, as 1779262532100 + 8255059878244 = 1333890^2 + 2873162^2 .

It is not an unprimeable number, because it can be changed into a prime (10034322410347) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3582405744 + ... + 3582408544.

Almost surely, 2^{10034322410344} is an apocalyptic number.

It is an amenable number.

10034322410344 is an abundant number, since it is smaller than the sum of its proper divisors (10433019964856).

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

10034322410344 is a wasteful number, since it uses less digits than its factorization.

10034322410344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4535 (or 4531 counting only the distinct ones).

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

Adding to 10034322410344 its reverse (44301422343001), we get a palindrome (54335744753345).

The spelling of 10034322410344 in words is "ten trillion, thirty-four billion, three hundred twenty-two million, four hundred ten thousand, three hundred forty-four".