42318078566400 has 5040 divisors, whose sum is σ = 207072758641056. Its totient is φ = 8316801515520.

The previous prime is 42318078566381. The next prime is 42318078566437. The reversal of 42318078566400 is 466587081324.

It is a happy number.

42318078566400 is a `hidden beast` number, since 4 + 2 + 3 + 1 + 8 + 0 + 78 + 566 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5040).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 359 ways as a sum of consecutive naturals, for example, 436268851152 + ... + 436268851248.

Almost surely, 2^{42318078566400} is an apocalyptic number.

42318078566400 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 42318078566400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103536379320528).

42318078566400 is an abundant number, since it is smaller than the sum of its proper divisors (164754680074656).

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

42318078566400 is a wasteful number, since it uses less digits than its factorization.

42318078566400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 42318078566400 in words is "forty-two trillion, three hundred eighteen billion, seventy-eight million, five hundred sixty-six thousand, four hundred".