4024114121424 has 320 divisors, whose sum is σ = 10853785313280. Its totient is φ = 1283966484480.

The previous prime is 4024114121413. The next prime is 4024114121441. The reversal of 4024114121424 is 4241214114204.

It is a junction number, because it is equal to n+sod(n) for n = 4024114121391 and 4024114121400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11209231357 + ... + 11209231715.

It is an arithmetic number, because the mean of its divisors is an integer number (33918079104).

Almost surely, 2^{4024114121424} 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 4024114121424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5426892656640).

4024114121424 is an abundant number, since it is smaller than the sum of its proper divisors (6829671191856).

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

4024114121424 is a wasteful number, since it uses less digits than its factorization.

4024114121424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 978 (or 972 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 30.

Adding to 4024114121424 its reverse (4241214114204), we get a palindrome (8265328235628).

The spelling of 4024114121424 in words is "four trillion, twenty-four billion, one hundred fourteen million, one hundred twenty-one thousand, four hundred twenty-four".