4920127056 has 320 divisors, whose sum is σ = 15998976000. Its totient is φ = 1437212160.

The previous prime is 4920127021. The next prime is 4920127057. The reversal of 4920127056 is 6507210294.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 4920127056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4920127057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10271425 + ... + 10271903.

It is an arithmetic number, because the mean of its divisors is an integer number (49996800).

Almost surely, 2^4920127056 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 4920127056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7999488000).

4920127056 is an abundant number, since it is smaller than the sum of its proper divisors (11078848944).

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

4920127056 is a wasteful number, since it uses less digits than its factorization.

4920127056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 599 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 4920127056 is about 70143.6173575330. The cubic root of 4920127056 is about 1700.8216392711.

The spelling of 4920127056 in words is "four billion, nine hundred twenty million, one hundred twenty-seven thousand, fifty-six".