4889318400 has 198 divisors, whose sum is σ = 17506897902. Its totient is φ = 1303756800.

The previous prime is 4889318387. The next prime is 4889318459. The reversal of 4889318400 is 48139884.

4889318400 is a `hidden beast` number, since 488 + 93 + 1 + 84 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 1323795456 + 3565522944 = 36384^2 + 59712^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

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 17 ways as a sum of consecutive naturals, for example, 219790 + ... + 241010.

Almost surely, 2^4889318400 is an apocalyptic number.

4889318400 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 4889318400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8753448951).

4889318400 is an abundant number, since it is smaller than the sum of its proper divisors (12617579502).

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

4889318400 is a wasteful number, since it uses less digits than its factorization.

4889318400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21257 (or 21231 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 4889318400 is about 69923.6612313743. The cubic root of 4889318400 is about 1697.2641577659.

The spelling of 4889318400 in words is "four billion, eight hundred eighty-nine million, three hundred eighteen thousand, four hundred".