14241000234024 has 160 divisors (see below), whose sum is σ = 40120646365800. Its totient is φ = 4719327805440.

The previous prime is 14241000233987. The next prime is 14241000234073. The reversal of 14241000234024 is 42043200014241.

14241000234024 is a `hidden beast` number, since 1 + 424 + 1 + 0 + 0 + 0 + 234 + 0 + 2 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 651587984100 + 13589412249924 = 807210^2 + 3686382^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 424213912 + ... + 424247480.

Almost surely, 2^{14241000234024} 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 14241000234024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20060323182900).

14241000234024 is an abundant number, since it is smaller than the sum of its proper divisors (25879646131776).

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

14241000234024 is a wasteful number, since it uses less digits than its factorization.

14241000234024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37385 (or 37372 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 14241000234024 its reverse (42043200014241), we get a palindrome (56284200248265).

The spelling of 14241000234024 in words is "fourteen trillion, two hundred forty-one billion, two hundred thirty-four thousand, twenty-four".