4941784972800 has 1620 divisors, whose sum is σ = 19758803170392. Its totient is φ = 1178910720000.

The previous prime is 4941784972757. The next prime is 4941784972837. The reversal of 4941784972800 is 82794871494.

4941784972800 is a `hidden beast` number, since 494 + 1 + 78 + 4 + 9 + 72 + 8 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 161 ways as a sum of consecutive naturals, for example, 32727052725 + ... + 32727052875.

Almost surely, 2^{4941784972800} is an apocalyptic number.

4941784972800 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 4941784972800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9879401585196).

4941784972800 is an abundant number, since it is smaller than the sum of its proper divisors (14817018197592).

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

4941784972800 is a wasteful number, since it uses less digits than its factorization.

4941784972800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 32514048, while the sum is 63.

The spelling of 4941784972800 in words is "four trillion, nine hundred forty-one billion, seven hundred eighty-four million, nine hundred seventy-two thousand, eight hundred".