4838400000000 has 1224 divisors, whose sum is σ = 20479833264320. Its totient is φ = 1105920000000.

The previous prime is 4838399999969. The next prime is 4838400000037. The reversal of 4838400000000 is 48384.

It is a super-2 number, since 2×4838400000000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 4838400000000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 691199999997 + ... + 691200000003.

Almost surely, 2^{4838400000000} is an apocalyptic number.

4838400000000 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 4838400000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10239916632160).

4838400000000 is an abundant number, since it is smaller than the sum of its proper divisors (15641433264320).

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

4838400000000 is an frugal number, since it uses more digits than its factorization.

4838400000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 4838400000000 its reverse (48384), we get a palindrome (4838400048384).

4838400000000 divided by its reverse (48384) gives a 8-th power (100000000 = 10⁸).

The spelling of 4838400000000 in words is "four trillion, eight hundred thirty-eight billion, four hundred million", and thus it is an aban number.