4838400048384 has 288 divisors, whose sum is σ = 17313885469440. Its totient is φ = 1301082144768.

The previous prime is 4838400048331. The next prime is 4838400048457.

It is a happy number.

4838400048384 is a `hidden beast` number, since 4 + 8 + 3 + 84 + 0 + 0 + 0 + 483 + 84 = 666.

4838400048384 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×4838400048384² (a number of 26 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 4838400048384.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2118649 + ... + 3763704.

It is an arithmetic number, because the mean of its divisors is an integer number (60117657880).

Almost surely, 2^{4838400048384} is an apocalyptic number.

It is an amenable number.

4838400048384 is an abundant number, since it is smaller than the sum of its proper divisors (12475485421056).

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

4838400048384 is a wasteful number, since it uses less digits than its factorization.

4838400048384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5882402 (or 5882382 counting only the distinct ones).

The product of its (nonzero) digits is 9437184, while the sum is 54.

The spelling of 4838400048384 in words is "four trillion, eight hundred thirty-eight billion, four hundred million, forty-eight thousand, three hundred eighty-four".