4856768942400 has 210 divisors, whose sum is σ = 17852261421390. Its totient is φ = 1295138350080.

The previous prime is 4856768942369. The next prime is 4856768942401. The reversal of 4856768942400 is 42498676584.

4856768942400 is a `hidden beast` number, since 4 + 8 + 567 + 68 + 9 + 4 + 2 + 4 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 47625205824 + 4809143736576 = 218232^2 + 2192976^2 .

It is a super-2 number, since 2×4856768942400² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4856768942401) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 18607935 + ... + 18867134.

Almost surely, 2^{4856768942400} is an apocalyptic number.

4856768942400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4856768942400 is an abundant number, since it is smaller than the sum of its proper divisors (12995492478990).

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

4856768942400 is a wasteful number, since it uses less digits than its factorization.

4856768942400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37475103 (or 37475079 counting only the distinct ones).

The product of its (nonzero) digits is 92897280, while the sum is 63.

The spelling of 4856768942400 in words is "four trillion, eight hundred fifty-six billion, seven hundred sixty-eight million, nine hundred forty-two thousand, four hundred".