10241243334144 has 160 divisors (see below), whose sum is σ = 31054178342880. Its totient is φ = 3330485452800.

The previous prime is 10241243334071. The next prime is 10241243334151. The reversal of 10241243334144 is 44143334214201.

10241243334144 is a `hidden beast` number, since 1 + 0 + 2 + 41 + 243 + 334 + 1 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10241243334099 and 10241243334108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8467737 + ... + 9601304.

It is an arithmetic number, because the mean of its divisors is an integer number (194088614643).

Almost surely, 2^{10241243334144} is an apocalyptic number.

It is an amenable number.

10241243334144 is an abundant number, since it is smaller than the sum of its proper divisors (20812935008736).

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

10241243334144 is an equidigital number, since it uses as much as digits as its factorization.

10241243334144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18069109 (or 18069087 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 10241243334144 its reverse (44143334214201), we get a palindrome (54384577548345).

The spelling of 10241243334144 in words is "ten trillion, two hundred forty-one billion, two hundred forty-three million, three hundred thirty-four thousand, one hundred forty-four".