10344003324144 has 240 divisors, whose sum is σ = 31770873962496. Its totient is φ = 2890854489600.

The previous prime is 10344003324143. The next prime is 10344003324227. The reversal of 10344003324144 is 44142330044301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10344003324143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20964114 + ... + 21451854.

Almost surely, 2^{10344003324144} is an apocalyptic number.

10344003324144 is a gapful number since it is divisible by the number (14) 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 10344003324144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15885436981248).

10344003324144 is an abundant number, since it is smaller than the sum of its proper divisors (21426870638352).

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

10344003324144 is a wasteful number, since it uses less digits than its factorization.

10344003324144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487964 (or 487951 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 33.

Adding to 10344003324144 its reverse (44142330044301), we get a palindrome (54486333368445).

The spelling of 10344003324144 in words is "ten trillion, three hundred forty-four billion, three million, three hundred twenty-four thousand, one hundred forty-four".