42343804956960 has 960 divisors, whose sum is σ = 168941916380160. Its totient is φ = 9915825807360.

The previous prime is 42343804956877. The next prime is 42343804956997. The reversal of 42343804956960 is 6965940834324.

42343804956960 is a `hidden beast` number, since 4 + 2 + 3 + 4 + 3 + 8 + 0 + 4 + 9 + 569 + 60 = 666.

42343804956960 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 159 ways as a sum of consecutive naturals, for example, 308081214 + ... + 308218626.

It is an arithmetic number, because the mean of its divisors is an integer number (175981162896).

Almost surely, 2^{42343804956960} is an apocalyptic number.

42343804956960 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 42343804956960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84470958190080).

42343804956960 is an abundant number, since it is smaller than the sum of its proper divisors (126598111423200).

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

42343804956960 is a wasteful number, since it uses less digits than its factorization.

42343804956960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137543 (or 137526 counting only the distinct ones).

The product of its (nonzero) digits is 134369280, while the sum is 63.

The spelling of 42343804956960 in words is "forty-two trillion, three hundred forty-three billion, eight hundred four million, nine hundred fifty-six thousand, nine hundred sixty".