42993329492256 has 768 divisors, whose sum is σ = 135905144094720. Its totient is φ = 11729701601280.

The previous prime is 42993329492251. The next prime is 42993329492263. The reversal of 42993329492256 is 65229492339924.

It is not an unprimeable number, because it can be changed into a prime (42993329492251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 41379527385 + ... + 41379528423.

It is an arithmetic number, because the mean of its divisors is an integer number (176959823040).

Almost surely, 2^{42993329492256} 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 42993329492256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67952572047360).

42993329492256 is an abundant number, since it is smaller than the sum of its proper divisors (92911814602464).

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

42993329492256 is a wasteful number, since it uses less digits than its factorization.

42993329492256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1569 (or 1561 counting only the distinct ones).

The product of its digits is 453496320, while the sum is 69.

The spelling of 42993329492256 in words is "forty-two trillion, nine hundred ninety-three billion, three hundred twenty-nine million, four hundred ninety-two thousand, two hundred fifty-six".