10144140320 has 48 divisors (see below), whose sum is σ = 24522886080. Its totient is φ = 3963289344.

The previous prime is 10144140301. The next prime is 10144140343. The reversal of 10144140320 is 2304144101.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 10144140292 and 10144140301.

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 7 ways as a sum of consecutive naturals, for example, 730340 + ... + 744099.

It is an arithmetic number, because the mean of its divisors is an integer number (510893460).

Almost surely, 2^10144140320 is an apocalyptic number.

10144140320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10144140320 is an abundant number, since it is smaller than the sum of its proper divisors (14378745760).

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

10144140320 is a wasteful number, since it uses less digits than its factorization.

10144140320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1474497 (or 1474489 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 10144140320 its reverse (2304144101), we get a palindrome (12448284421).

The spelling of 10144140320 in words is "ten billion, one hundred forty-four million, one hundred forty thousand, three hundred twenty".