42178619168640 has 1024 divisors, whose sum is σ = 156577934131200. Its totient is φ = 10856285356032.

The previous prime is 42178619168603. The next prime is 42178619168701. The reversal of 42178619168640 is 4686191687124.

42178619168640 is a `hidden beast` number, since 4 + 2 + 1 + 7 + 8 + 619 + 1 + 6 + 8 + 6 + 4 + 0 = 666.

42178619168640 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 127 ways as a sum of consecutive naturals, for example, 4802297689 + ... + 4802306471.

It is an arithmetic number, because the mean of its divisors is an integer number (152908138800).

Almost surely, 2^{42178619168640} is an apocalyptic number.

42178619168640 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 42178619168640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78288967065600).

42178619168640 is an abundant number, since it is smaller than the sum of its proper divisors (114399314962560).

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

42178619168640 is an frugal number, since it uses more digits than its factorization.

42178619168640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8943 (or 8913 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 63.

The spelling of 42178619168640 in words is "forty-two trillion, one hundred seventy-eight billion, six hundred nineteen million, one hundred sixty-eight thousand, six hundred forty".