10144203321304 has 64 divisors (see below), whose sum is σ = 20741584399200. Its totient is φ = 4623254501376.

The previous prime is 10144203321253. The next prime is 10144203321331. The reversal of 10144203321304 is 40312330244101.

It is a happy number.

It is a super-2 number, since 2×10144203321304² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1556847 + ... + 4765729.

Almost surely, 2^{10144203321304} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10144203321304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10370792199600).

10144203321304 is an abundant number, since it is smaller than the sum of its proper divisors (10597381077896).

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

10144203321304 is a wasteful number, since it uses less digits than its factorization.

10144203321304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3209284 (or 3209280 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 10144203321304 its reverse (40312330244101), we get a palindrome (50456533565405).

The spelling of 10144203321304 in words is "ten trillion, one hundred forty-four billion, two hundred three million, three hundred twenty-one thousand, three hundred four".