10430514432 has 108 divisors (see below), whose sum is σ = 32387202484. Its totient is φ = 3209379840.

The previous prime is 10430514389. The next prime is 10430514461. The reversal of 10430514432 is 23441503401.

It is a happy number.

10430514432 is a `hidden beast` number, since 104 + 3 + 0 + 514 + 43 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2313225216 + 8117289216 = 48096^2 + 90096^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10430514396 and 10430514405.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 144169 + ... + 204072.

Almost surely, 2^10430514432 is an apocalyptic number.

10430514432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10430514432 is an abundant number, since it is smaller than the sum of its proper divisors (21956688052).

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

10430514432 is a wasteful number, since it uses less digits than its factorization.

10430514432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348276 (or 348259 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The spelling of 10430514432 in words is "ten billion, four hundred thirty million, five hundred fourteen thousand, four hundred thirty-two".