42718345712000 has 1024 divisors, whose sum is σ = 127506842910720. Its totient is φ = 13925882880000.

The previous prime is 42718345711927. The next prime is 42718345712051. The reversal of 42718345712000 is 21754381724.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 78095695727 + ... + 78095696273.

It is an arithmetic number, because the mean of its divisors is an integer number (124518401280).

Almost surely, 2^{42718345712000} is an apocalyptic number.

42718345712000 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 42718345712000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63753421455360).

42718345712000 is an abundant number, since it is smaller than the sum of its proper divisors (84788497198720).

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

42718345712000 is a wasteful number, since it uses less digits than its factorization.

42718345712000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 968 (or 946 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 44.

The spelling of 42718345712000 in words is "forty-two trillion, seven hundred eighteen billion, three hundred forty-five million, seven hundred twelve thousand".