42866482795200 has 252 divisors, whose sum is σ = 152402970248568. Its totient is φ = 11427658137600.

The previous prime is 42866482795187. The next prime is 42866482795229. The reversal of 42866482795200 is 259728466824.

42866482795200 is a `hidden beast` number, since 4 + 2 + 8 + 66 + 48 + 2 + 7 + 9 + 520 + 0 = 666.

42866482795200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 48100864 + ... + 48983936.

Almost surely, 2^{42866482795200} is an apocalyptic number.

42866482795200 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 42866482795200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76201485124284).

42866482795200 is an abundant number, since it is smaller than the sum of its proper divisors (109536487453368).

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

42866482795200 is a wasteful number, since it uses less digits than its factorization.

42866482795200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 886472 (or 886454 counting only the distinct ones).

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

The spelling of 42866482795200 in words is "forty-two trillion, eight hundred sixty-six billion, four hundred eighty-two million, seven hundred ninety-five thousand, two hundred".