42846831728010 has 160 divisors (see below), whose sum is σ = 115805559969792. Its totient is φ = 11366864317440.

The previous prime is 42846831727993. The next prime is 42846831728011. The reversal of 42846831728010 is 1082713864824.

42846831728010 is a `hidden beast` number, since 4 + 2 + 8 + 46 + 8 + 317 + 280 + 1 + 0 = 666.

42846831728010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (42846831728011) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 268517050 + ... + 268676570.

Almost surely, 2^{42846831728010} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42846831728010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57902779984896).

42846831728010 is an abundant number, since it is smaller than the sum of its proper divisors (72958728241782).

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

42846831728010 is a wasteful number, since it uses less digits than its factorization.

42846831728010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161250 (or 161241 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 42846831728010 in words is "forty-two trillion, eight hundred forty-six billion, eight hundred thirty-one million, seven hundred twenty-eight thousand, ten".