10241115662144 has 56 divisors (see below), whose sum is σ = 20627875570176. Its totient is φ = 5043676736000.

The previous prime is 10241115662093. The next prime is 10241115662161. The reversal of 10241115662144 is 44126651114201.

It is a super-2 number, since 2×10241115662144² (a number of 27 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 10241115662098 and 10241115662107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3759089 + ... + 5883279.

It is an arithmetic number, because the mean of its divisors is an integer number (368354920896).

Almost surely, 2^{10241115662144} 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 10241115662144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10313937785088).

10241115662144 is an abundant number, since it is smaller than the sum of its proper divisors (10386759908032).

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

10241115662144 is a wasteful number, since it uses less digits than its factorization.

10241115662144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2125335 (or 2125325 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 38.

Adding to 10241115662144 its reverse (44126651114201), we get a palindrome (54367766776345).

The spelling of 10241115662144 in words is "ten trillion, two hundred forty-one billion, one hundred fifteen million, six hundred sixty-two thousand, one hundred forty-four".