4842613133424 has 180 divisors, whose sum is σ = 14979880679400. Its totient is φ = 1459259493120.

The previous prime is 4842613133381. The next prime is 4842613133429. The reversal of 4842613133424 is 4243313162484.

4842613133424 is a `hidden beast` number, since 4 + 8 + 4 + 2 + 613 + 1 + 3 + 3 + 4 + 24 = 666.

It is a super-3 number, since 3×4842613133424³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a self number, because there is not a number n which added to its sum of digits gives 4842613133424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4842613133429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2342562 + ... + 3895230.

It is an arithmetic number, because the mean of its divisors is an integer number (83221559330).

Almost surely, 2^{4842613133424} is an apocalyptic number.

4842613133424 is a gapful number since it is divisible by the number (44) 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 4842613133424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7489940339700).

4842613133424 is an abundant number, since it is smaller than the sum of its proper divisors (10137267545976).

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

4842613133424 is a wasteful number, since it uses less digits than its factorization.

4842613133424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1552884 (or 1552864 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 45.

The spelling of 4842613133424 in words is "four trillion, eight hundred forty-two billion, six hundred thirteen million, one hundred thirty-three thousand, four hundred twenty-four".