4910938048800 has 3456 divisors, whose sum is σ = 22701227028480. Its totient is φ = 1011651379200.

The previous prime is 4910938048787. The next prime is 4910938048897. The reversal of 4910938048800 is 88408390194.

4910938048800 is a `hidden beast` number, since 49 + 109 + 380 + 48 + 80 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 55179079156 + ... + 55179079244.

It is an arithmetic number, because the mean of its divisors is an integer number (6568642080).

Almost surely, 2^{4910938048800} is an apocalyptic number.

4910938048800 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 4910938048800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11350613514240).

4910938048800 is an abundant number, since it is smaller than the sum of its proper divisors (17790288979680).

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

4910938048800 is a wasteful number, since it uses less digits than its factorization.

4910938048800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 4910938048800 in words is "four trillion, nine hundred ten billion, nine hundred thirty-eight million, forty-eight thousand, eight hundred".