4829912438400 has 864 divisors, whose sum is σ = 20537208307980. Its totient is φ = 1077040742400.

The previous prime is 4829912438357. The next prime is 4829912438411. The reversal of 4829912438400 is 48342199284.

It is a happy number.

4829912438400 is a `hidden beast` number, since 4 + 82 + 9 + 9 + 124 + 38 + 400 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1593108449856 + 3236803988544 = 1262184^2 + 1799112^2 .

It is a super-2 number, since 2×4829912438400² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

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 107 ways as a sum of consecutive naturals, for example, 57817462 + ... + 57900938.

Almost surely, 2^{4829912438400} is an apocalyptic number.

4829912438400 is a gapful number since it is divisible by the number (40) 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 4829912438400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10268604153990).

4829912438400 is an abundant number, since it is smaller than the sum of its proper divisors (15707295869580).

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

4829912438400 is a wasteful number, since it uses less digits than its factorization.

4829912438400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83562 (or 83535 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 4829912438400 in words is "four trillion, eight hundred twenty-nine billion, nine hundred twelve million, four hundred thirty-eight thousand, four hundred".