10144430640 has 60 divisors (see below), whose sum is σ = 34068381984. Its totient is φ = 2705181312.

The previous prime is 10144430633. The next prime is 10144430651. The reversal of 10144430640 is 4603444101.

10144430640 is a `hidden beast` number, since 1 + 0 + 14 + 4 + 4 + 3 + 0 + 640 = 666.

10144430640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (60).

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 11 ways as a sum of consecutive naturals, for example, 7044024 + ... + 7045463.

Almost surely, 2^10144430640 is an apocalyptic number.

10144430640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10144430640 is an abundant number, since it is smaller than the sum of its proper divisors (23923951344).

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

10144430640 is a wasteful number, since it uses less digits than its factorization.

10144430640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14089506 (or 14089497 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 10144430640 its reverse (4603444101), we get a palindrome (14747874741).

The spelling of 10144430640 in words is "ten billion, one hundred forty-four million, four hundred thirty thousand, six hundred forty".