4938248893760 has 448 divisors, whose sum is σ = 14690407463424. Its totient is φ = 1539440640000.

The previous prime is 4938248893757. The next prime is 4938248893819. The reversal of 4938248893760 is 673988428394.

It is a tau number, because it is divible by the number of its divisors (448).

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 63 ways as a sum of consecutive naturals, for example, 3084476960 + ... + 3084478560.

It is an arithmetic number, because the mean of its divisors is an integer number (32791088088).

Almost surely, 2^{4938248893760} is an apocalyptic number.

4938248893760 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 4938248893760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7345203731712).

4938248893760 is an abundant number, since it is smaller than the sum of its proper divisors (9752158569664).

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

4938248893760 is a wasteful number, since it uses less digits than its factorization.

4938248893760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3162 (or 3152 counting only the distinct ones).

The product of its (nonzero) digits is 501645312, while the sum is 71.

The spelling of 4938248893760 in words is "four trillion, nine hundred thirty-eight billion, two hundred forty-eight million, eight hundred ninety-three thousand, seven hundred sixty".