14134241301024 has 384 divisors, whose sum is σ = 42443533440000. Its totient is φ = 4082587619328.

The previous prime is 14134241300917. The next prime is 14134241301029. The reversal of 14134241301024 is 42010314243141.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 14134241300982 and 14134241301000.

It is not an unprimeable number, because it can be changed into a prime (14134241301029) 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, 1835850327 + ... + 1835858025.

It is an arithmetic number, because the mean of its divisors is an integer number (110530035000).

Almost surely, 2^{14134241301024} 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 14134241301024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21221766720000).

14134241301024 is an abundant number, since it is smaller than the sum of its proper divisors (28309292138976).

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

14134241301024 is a wasteful number, since it uses less digits than its factorization.

14134241301024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8440 (or 8432 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 14134241301024 its reverse (42010314243141), we get a palindrome (56144555544165).

The spelling of 14134241301024 in words is "fourteen trillion, one hundred thirty-four billion, two hundred forty-one million, three hundred one thousand, twenty-four".