14241541245408 has 144 divisors (see below), whose sum is σ = 41898488224320. Its totient is φ = 4583202849792.

The previous prime is 14241541245401. The next prime is 14241541245427. The reversal of 14241541245408 is 80454214514241.

14241541245408 is a `hidden beast` number, since 1 + 4 + 2 + 41 + 5 + 41 + 24 + 540 + 8 = 666.

14241541245408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14241541245401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 168192010 + ... + 168276662.

It is an arithmetic number, because the mean of its divisors is an integer number (290961723780).

Almost surely, 2^{14241541245408} is an apocalyptic number.

14241541245408 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14241541245408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20949244112160).

14241541245408 is an abundant number, since it is smaller than the sum of its proper divisors (27656946978912).

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

14241541245408 is a wasteful number, since it uses less digits than its factorization.

14241541245408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104841 (or 104830 counting only the distinct ones).

The product of its (nonzero) digits is 819200, while the sum is 45.

Adding to 14241541245408 its reverse (80454214514241), we get a palindrome (94695755759649).

The spelling of 14241541245408 in words is "fourteen trillion, two hundred forty-one billion, five hundred forty-one million, two hundred forty-five thousand, four hundred eight".