9413139463728 has 1280 divisors, whose sum is σ = 34494072238080. Its totient is φ = 2133924249600.

The previous prime is 9413139463723. The next prime is 9413139463747. The reversal of 9413139463728 is 8273649313149.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (9413139463723) by changing a digit.

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 255 ways as a sum of consecutive naturals, for example, 9292338550 + ... + 9292339562.

It is an arithmetic number, because the mean of its divisors is an integer number (26948493936).

Almost surely, 2^{9413139463728} 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 9413139463728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17247036119040).

9413139463728 is an abundant number, since it is smaller than the sum of its proper divisors (25080932774352).

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

9413139463728 is a wasteful number, since it uses less digits than its factorization.

9413139463728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1238 (or 1232 counting only the distinct ones).

The product of its digits is 23514624, while the sum is 60.

The spelling of 9413139463728 in words is "nine trillion, four hundred thirteen billion, one hundred thirty-nine million, four hundred sixty-three thousand, seven hundred twenty-eight".