4884138000 has 800 divisors, whose sum is σ = 20784741120. Its totient is φ = 1082419200.

The previous prime is 4884137989. The next prime is 4884138001. The reversal of 4884138000 is 8314884.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4884138001) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 66905964 + ... + 66906036.

Almost surely, 2^4884138000 is an apocalyptic number.

4884138000 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 4884138000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10392370560).

4884138000 is an abundant number, since it is smaller than the sum of its proper divisors (15900603120).

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

4884138000 is a wasteful number, since it uses less digits than its factorization.

4884138000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 4884138000 is about 69886.6081592175. The cubic root of 4884138000 is about 1696.6645094664.

It can be divided in two parts, 4884 and 138000, that added together give a square (142884 = 378²).

The spelling of 4884138000 in words is "four billion, eight hundred eighty-four million, one hundred thirty-eight thousand".