4881129984 has 200 divisors, whose sum is σ = 14967345228. Its totient is φ = 1582571520.

The previous prime is 4881129971. The next prime is 4881130013. The reversal of 4881129984 is 4899211884.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 4877625600 + 3504384 = 69840^2 + 1872^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 4881129984.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1532874 + ... + 1536054.

Almost surely, 2^4881129984 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 4881129984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7483672614).

4881129984 is an abundant number, since it is smaller than the sum of its proper divisors (10086215244).

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

4881129984 is an equidigital number, since it uses as much as digits as its factorization.

4881129984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3248 (or 3223 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 54.

The square root of 4881129984 is about 69865.0841551057. The cubic root of 4881129984 is about 1696.3161271402.

The spelling of 4881129984 in words is "four billion, eight hundred eighty-one million, one hundred twenty-nine thousand, nine hundred eighty-four".