4940938828800 has 1584 divisors, whose sum is σ = 19976929644672. Its totient is φ = 1202754355200.

The previous prime is 4940938828753. The next prime is 4940938828807. The reversal of 4940938828800 is 88288390494.

4940938828800 is a `hidden beast` number, since 49 + 409 + 38 + 82 + 8 + 80 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4940938828807) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8653132515 + ... + 8653133085.

It is an arithmetic number, because the mean of its divisors is an integer number (12611698008).

Almost surely, 2^{4940938828800} is an apocalyptic number.

4940938828800 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 4940938828800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9988464822336).

4940938828800 is an abundant number, since it is smaller than the sum of its proper divisors (15035990815872).

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

4940938828800 is a wasteful number, since it uses less digits than its factorization.

4940938828800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 736 (or 701 counting only the distinct ones).

The product of its (nonzero) digits is 31850496, while the sum is 63.

The spelling of 4940938828800 in words is "four trillion, nine hundred forty billion, nine hundred thirty-eight million, eight hundred twenty-eight thousand, eight hundred".