10415434144 has 24 divisors (see below), whose sum is σ = 20535897060. Its totient is φ = 5199968256.

The previous prime is 10415434121. The next prime is 10415434151. The reversal of 10415434144 is 44143451401.

10415434144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 9868435600 + 546998544 = 99340^2 + 23388^2 .

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 220279 + ... + 263350.

Almost surely, 2^10415434144 is an apocalyptic number.

It is an amenable number.

10415434144 is a deficient number, since it is larger than the sum of its proper divisors (10120462916).

10415434144 is an equidigital number, since it uses as much as digits as its factorization.

10415434144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484312 (or 484304 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 31.

Adding to 10415434144 its reverse (44143451401), we get a palindrome (54558885545).

The spelling of 10415434144 in words is "ten billion, four hundred fifteen million, four hundred thirty-four thousand, one hundred forty-four".