4977797227200 has 2016 divisors, whose sum is σ = 22771021418496. Its totient is φ = 1004546949120.

The previous prime is 4977797227199. The next prime is 4977797227219. The reversal of 4977797227200 is 27227977794.

4977797227200 is a `hidden beast` number, since 497 + 7 + 7 + 9 + 72 + 2 + 72 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2088877209 + ... + 2088879591.

Almost surely, 2^{4977797227200} is an apocalyptic number.

4977797227200 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 4977797227200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11385510709248).

4977797227200 is an abundant number, since it is smaller than the sum of its proper divisors (17793224191296).

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

4977797227200 is a wasteful number, since it uses less digits than its factorization.

4977797227200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2511 (or 2493 counting only the distinct ones).

The product of its (nonzero) digits is 43563744, while the sum is 63.

The spelling of 4977797227200 in words is "four trillion, nine hundred seventy-seven billion, seven hundred ninety-seven million, two hundred twenty-seven thousand, two hundred".