42318777967488 has 512 divisors, whose sum is σ = 143677467648000. Its totient is φ = 12127536691200.

The previous prime is 42318777967447. The next prime is 42318777967511. The reversal of 42318777967488 is 88476977781324.

42318777967488 is a `hidden beast` number, since 4 + 2 + 3 + 1 + 8 + 7 + 7 + 79 + 67 + 488 = 666.

42318777967488 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 412384281 + ... + 412486887.

It is an arithmetic number, because the mean of its divisors is an integer number (280620054000).

Almost surely, 2^{42318777967488} is an apocalyptic number.

42318777967488 is a gapful number since it is divisible by the number (48) 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 42318777967488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71838733824000).

42318777967488 is an abundant number, since it is smaller than the sum of its proper divisors (101358689680512).

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

42318777967488 is a wasteful number, since it uses less digits than its factorization.

42318777967488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103231 (or 103213 counting only the distinct ones).

The product of its digits is 6372753408, while the sum is 81.

The spelling of 42318777967488 in words is "forty-two trillion, three hundred eighteen billion, seven hundred seventy-seven million, nine hundred sixty-seven thousand, four hundred eighty-eight".