42879259944576 has 1536 divisors, whose sum is σ = 147578725785600. Its totient is φ = 12149222400000.

The previous prime is 42879259944557. The next prime is 42879259944589. The reversal of 42879259944576 is 67544995297824.

42879259944576 is a `hidden beast` number, since 4 + 2 + 8 + 79 + 2 + 5 + 9 + 94 + 457 + 6 = 666.

Its product of digits (10973491200) is a multiple of the sum of its prime divisors (450).

It is a junction number, because it is equal to n+sod(n) for n = 42879259944495 and 42879259944504.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 158226051321 + ... + 158226051591.

It is an arithmetic number, because the mean of its divisors is an integer number (96079899600).

Almost surely, 2^{42879259944576} 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 42879259944576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73789362892800).

42879259944576 is an abundant number, since it is smaller than the sum of its proper divisors (104699465841024).

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

42879259944576 is a wasteful number, since it uses less digits than its factorization.

42879259944576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 499 (or 450 counting only the distinct ones).

The product of its digits is 10973491200, while the sum is 81.

The spelling of 42879259944576 in words is "forty-two trillion, eight hundred seventy-nine billion, two hundred fifty-nine million, nine hundred forty-four thousand, five hundred seventy-six".