4978118880 has 576 divisors, whose sum is σ = 20379340800. Its totient is φ = 1082695680.

The previous prime is 4978118879. The next prime is 4978118903. The reversal of 4978118880 is 888118794.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27810631 + ... + 27810809.

It is an arithmetic number, because the mean of its divisors is an integer number (35380800).

Almost surely, 2^4978118880 is an apocalyptic number.

4978118880 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 4978118880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10189670400).

4978118880 is an abundant number, since it is smaller than the sum of its proper divisors (15401221920).

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

4978118880 is a wasteful number, since it uses less digits than its factorization.

4978118880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 54.

The square root of 4978118880 is about 70555.7855884264. The cubic root of 4978118880 is about 1707.4778865091.

The spelling of 4978118880 in words is "four billion, nine hundred seventy-eight million, one hundred eighteen thousand, eight hundred eighty".