4021144242024 has 256 divisors, whose sum is σ = 12430213447680. Its totient is φ = 1055607920640.

The previous prime is 4021144242023. The next prime is 4021144242041. The reversal of 4021144242024 is 4202424411204.

It is a junction number, because it is equal to n+sod(n) for n = 4021144241982 and 4021144242000.

It is not an unprimeable number, because it can be changed into a prime (4021144242023) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 435797299 + ... + 435806525.

It is an arithmetic number, because the mean of its divisors is an integer number (48555521280).

Almost surely, 2^{4021144242024} 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 4021144242024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6215106723840).

4021144242024 is an abundant number, since it is smaller than the sum of its proper divisors (8409069205656).

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

4021144242024 is a wasteful number, since it uses less digits than its factorization.

4021144242024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10160 (or 10156 counting only the distinct ones).

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

Adding to 4021144242024 its reverse (4202424411204), we get a palindrome (8223568653228).

The spelling of 4021144242024 in words is "four trillion, twenty-one billion, one hundred forty-four million, two hundred forty-two thousand, twenty-four".