10424314121344 has 32 divisors (see below), whose sum is σ = 20791534565340. Its totient is φ = 5206046622720.

The previous prime is 10424314121341. The next prime is 10424314121359. The reversal of 10424314121344 is 44312141342401.

It can be written as a sum of positive squares in 2 ways, for example, as 8840441530944 + 1583872590400 = 2973288^2 + 1258520^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (10424314121341) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 47628187 + ... + 47846554.

Almost surely, 2^{10424314121344} is an apocalyptic number.

It is an amenable number.

10424314121344 is a deficient number, since it is larger than the sum of its proper divisors (10367220443996).

10424314121344 is an frugal number, since it uses more digits than its factorization.

10424314121344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95475608 (or 95475596 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 34.

Adding to 10424314121344 its reverse (44312141342401), we get a palindrome (54736455463745).

The spelling of 10424314121344 in words is "ten trillion, four hundred twenty-four billion, three hundred fourteen million, one hundred twenty-one thousand, three hundred forty-four".