4816358400 has 792 divisors, whose sum is σ = 19948850176. Its totient is φ = 1002700800.

The previous prime is 4816358389. The next prime is 4816358419. The reversal of 4816358400 is 48536184.

It is a congruent number.

It is an unprimeable number.

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, 155366385 + ... + 155366415.

Almost surely, 2^4816358400 is an apocalyptic number.

4816358400 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 4816358400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9974425088).

4816358400 is an abundant number, since it is smaller than the sum of its proper divisors (15132491776).

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

4816358400 is a wasteful number, since it uses less digits than its factorization.

4816358400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The square root of 4816358400 is about 69399.9884726215. The cubic root of 4816358400 is about 1688.7794368383.

The spelling of 4816358400 in words is "four billion, eight hundred sixteen million, three hundred fifty-eight thousand, four hundred".