4988882400 has 144 divisors (see below), whose sum is σ = 16358421744. Its totient is φ = 1320570880.

The previous prime is 4988882363. The next prime is 4988882401. The reversal of 4988882400 is 42888894.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4988882401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 321214 + ... + 336386.

It is an arithmetic number, because the mean of its divisors is an integer number (113600151).

Almost surely, 2^4988882400 is an apocalyptic number.

4988882400 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 4988882400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8179210872).

4988882400 is an abundant number, since it is smaller than the sum of its proper divisors (11369539344).

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

4988882400 is a wasteful number, since it uses less digits than its factorization.

4988882400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15333 (or 15320 counting only the distinct ones).

The product of its (nonzero) digits is 1179648, while the sum is 51.

The square root of 4988882400 is about 70632.0210669354. The cubic root of 4988882400 is about 1708.7076175877.

The spelling of 4988882400 in words is "four billion, nine hundred eighty-eight million, eight hundred eighty-two thousand, four hundred".