4934039384448 has 128 divisors (see below), whose sum is σ = 15328704432000. Its totient is φ = 1558117679616.

The previous prime is 4934039384419. The next prime is 4934039384473. The reversal of 4934039384448 is 8444839304394.

It is a happy number.

4934039384448 is a `hidden beast` number, since 4 + 93 + 40 + 39 + 38 + 4 + 448 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

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 15 ways as a sum of consecutive naturals, for example, 37504690 + ... + 37636017.

It is an arithmetic number, because the mean of its divisors is an integer number (119755503375).

Almost surely, 2^{4934039384448} is an apocalyptic number.

4934039384448 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4934039384448 is an abundant number, since it is smaller than the sum of its proper divisors (10394665047552).

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

4934039384448 is a wasteful number, since it uses less digits than its factorization.

4934039384448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75140749 (or 75140731 counting only the distinct ones).

The product of its (nonzero) digits is 143327232, while the sum is 63.

The spelling of 4934039384448 in words is "four trillion, nine hundred thirty-four billion, thirty-nine million, three hundred eighty-four thousand, four hundred forty-eight".