10144024242024 has 128 divisors (see below), whose sum is σ = 26164871424000. Its totient is φ = 3274904312064.

The previous prime is 10144024241999. The next prime is 10144024242083. The reversal of 10144024242024 is 42024242044101.

It is a junction number, because it is equal to n+sod(n) for n = 10144024241982 and 10144024242000.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 179451637 + ... + 179508155.

It is an arithmetic number, because the mean of its divisors is an integer number (204413058000).

Almost surely, 2^{10144024242024} 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 10144024242024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13082435712000).

10144024242024 is an abundant number, since it is smaller than the sum of its proper divisors (16020847181976).

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

10144024242024 is a wasteful number, since it uses less digits than its factorization.

10144024242024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57487 (or 57483 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 30.

Adding to 10144024242024 its reverse (42024242044101), we get a palindrome (52168266286125).

The spelling of 10144024242024 in words is "ten trillion, one hundred forty-four billion, twenty-four million, two hundred forty-two thousand, twenty-four".