4882685702400 has 2187 divisors, whose sum is σ = 20588405590389. Its totient is φ = 1145498112000.

The previous prime is 4882685702359. The next prime is 4882685702423. The reversal of 4882685702400 is 42075862884.

The square root of 4882685702400 is 2209680.

It is a perfect power (a square), and thus also a powerful number.

4882685702400 is a `hidden beast` number, since 4 + 8 + 8 + 2 + 68 + 570 + 2 + 4 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1757766852864 + 3124918849536 = 1325808^2 + 1767744^2 .

It is a tau number, because it is divible by the number of its divisors (2187).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 157505990385 + ... + 157505990415.

Almost surely, 2^{4882685702400} is an apocalyptic number.

4882685702400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

4882685702400 is the 2209680-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4882685702400

4882685702400 is an abundant number, since it is smaller than the sum of its proper divisors (15705719887989).

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

4882685702400 is an frugal number, since it uses more digits than its factorization.

4882685702400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 6881280, while the sum is 54.

The spelling of 4882685702400 in words is "four trillion, eight hundred eighty-two billion, six hundred eighty-five million, seven hundred two thousand, four hundred".