4241324231424 has 432 divisors, whose sum is σ = 15099900379200. Its totient is φ = 1140520550400.

The previous prime is 4241324231399. The next prime is 4241324231453.

4241324231424 is a `hidden beast` number, since 4 + 2 + 413 + 2 + 4 + 231 + 4 + 2 + 4 = 666.

4241324231424 is nontrivially palindromic in base 10.

4241324231424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13276774 + ... + 13592474.

It is an arithmetic number, because the mean of its divisors is an integer number (34953473100).

Almost surely, 2^{4241324231424} 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 4241324231424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7549950189600).

4241324231424 is an abundant number, since it is smaller than the sum of its proper divisors (10858576147776).

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

4241324231424 is a wasteful number, since it uses less digits than its factorization.

4241324231424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315761 (or 315730 counting only the distinct ones).

The product of its digits is 147456, while the sum is 36.

The spelling of 4241324231424 in words is "four trillion, two hundred forty-one billion, three hundred twenty-four million, two hundred thirty-one thousand, four hundred twenty-four".