4977555541056 has 2520 divisors, whose sum is σ = 19991470726656. Its totient is φ = 1215235768320.

The previous prime is 4977555541043. The next prime is 4977555541067. The reversal of 4977555541056 is 6501455557794.

4977555541056 is a `hidden beast` number, since 4 + 9 + 7 + 75 + 5 + 554 + 1 + 0 + 5 + 6 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 4977555540984 and 4977555541002.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 48325781901 + ... + 48325782003.

Almost surely, 2^{4977555541056} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4977555541056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9995735363328).

4977555541056 is an abundant number, since it is smaller than the sum of its proper divisors (15013915185600).

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

4977555541056 is a wasteful number, since it uses less digits than its factorization.

4977555541056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 132300000, while the sum is 63.

The spelling of 4977555541056 in words is "four trillion, nine hundred seventy-seven billion, five hundred fifty-five million, five hundred forty-one thousand, fifty-six".