42850676617344 has 192 divisors, whose sum is σ = 123747689345280. Its totient is φ = 14232609792000.

The previous prime is 42850676617313. The next prime is 42850676617349. The reversal of 42850676617344 is 44371667605824.

42850676617344 is a `hidden beast` number, since 4 + 2 + 8 + 5 + 0 + 6 + 7 + 6 + 617 + 3 + 4 + 4 = 666.

42850676617344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×42850676617344² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (42850676617349) 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 23 ways as a sum of consecutive naturals, for example, 507721389 + ... + 507805779.

It is an arithmetic number, because the mean of its divisors is an integer number (644519215340).

Almost surely, 2^{42850676617344} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42850676617344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61873844672640).

42850676617344 is an abundant number, since it is smaller than the sum of its proper divisors (80897012727936).

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

42850676617344 is a wasteful number, since it uses less digits than its factorization.

42850676617344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85979 (or 85964 counting only the distinct ones).

The product of its (nonzero) digits is 162570240, while the sum is 63.

The spelling of 42850676617344 in words is "forty-two trillion, eight hundred fifty billion, six hundred seventy-six million, six hundred seventeen thousand, three hundred forty-four".