10334144240224 has 24 divisors (see below), whose sum is σ = 23251824541008. Its totient is φ = 4428918960000.

The previous prime is 10334144240213. The next prime is 10334144240279. The reversal of 10334144240224 is 42204244143301.

10334144240224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 10334144240224.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 23067286027 + ... + 23067286474.

It is an arithmetic number, because the mean of its divisors is an integer number (968826022542).

Almost surely, 2^{10334144240224} is an apocalyptic number.

10334144240224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10334144240224 is an abundant number, since it is smaller than the sum of its proper divisors (12917680300784).

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

10334144240224 is an equidigital number, since it uses as much as digits as its factorization.

10334144240224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46134572518 (or 46134572510 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 34.

Adding to 10334144240224 its reverse (42204244143301), we get a palindrome (52538388383525).

The spelling of 10334144240224 in words is "ten trillion, three hundred thirty-four billion, one hundred forty-four million, two hundred forty thousand, two hundred twenty-four".