4878810144 has 432 divisors, whose sum is σ = 16558371648. Its totient is φ = 1404407808.

The previous prime is 4878810133. The next prime is 4878810149. The reversal of 4878810144 is 4410188784.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (432).

It is a self number, because there is not a number n which added to its sum of digits gives 4878810144.

It is not an unprimeable number, because it can be changed into a prime (4878810149) 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 71 ways as a sum of consecutive naturals, for example, 29214349 + ... + 29214515.

It is an arithmetic number, because the mean of its divisors is an integer number (38329564).

Almost surely, 2^4878810144 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 4878810144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8279185824).

4878810144 is an abundant number, since it is smaller than the sum of its proper divisors (11679561504).

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

4878810144 is a wasteful number, since it uses less digits than its factorization.

4878810144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 229376, while the sum is 45.

The square root of 4878810144 is about 69848.4798975611. The cubic root of 4878810144 is about 1696.0473501970.

The spelling of 4878810144 in words is "four billion, eight hundred seventy-eight million, eight hundred ten thousand, one hundred forty-four".