10320144000 has 256 divisors, whose sum is σ = 34732713600. Its totient is φ = 2710118400.

The previous prime is 10320143993. The next prime is 10320144031. The reversal of 10320144000 is 44102301.

It is a super-3 number, since 3×10320144000³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

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 31 ways as a sum of consecutive naturals, for example, 3214396 + ... + 3217604.

Almost surely, 2^10320144000 is an apocalyptic number.

10320144000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10320144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17366356800).

10320144000 is an abundant number, since it is smaller than the sum of its proper divisors (24412569600).

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

10320144000 is an equidigital number, since it uses as much as digits as its factorization.

10320144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3308 (or 3286 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 10320144000 its reverse (44102301), we get a palindrome (10364246301).

The spelling of 10320144000 in words is "ten billion, three hundred twenty million, one hundred forty-four thousand".