10010434134441 has 32 divisors (see below), whose sum is σ = 14470802617600. Its totient is φ = 6118771104000.

The previous prime is 10010434134401. The next prime is 10010434134443. The reversal of 10010434134441 is 14443143401001.

It is not a de Polignac number, because 10010434134441 - 2⁷ = 10010434134313 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10010434134399 and 10010434134408.

It is not an unprimeable number, because it can be changed into a prime (10010434134443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53974335 + ... + 54159483.

It is an arithmetic number, because the mean of its divisors is an integer number (452212581800).

Almost surely, 2^{10010434134441} is an apocalyptic number.

It is an amenable number.

10010434134441 is a deficient number, since it is larger than the sum of its proper divisors (4460368483159).

10010434134441 is a wasteful number, since it uses less digits than its factorization.

10010434134441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194497.

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 10010434134441 its reverse (14443143401001), we get a palindrome (24453577535442).

The spelling of 10010434134441 in words is "ten trillion, ten billion, four hundred thirty-four million, one hundred thirty-four thousand, four hundred forty-one".