42078808800 has 864 divisors, whose sum is σ = 179538508800. Its totient is φ = 9482296320.

The previous prime is 42078808643. The next prime is 42078808829. The reversal of 42078808800 is 880887024.

42078808800 is a `hidden beast` number, since 420 + 78 + 80 + 8 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 143 ways as a sum of consecutive naturals, for example, 87846961 + ... + 87847439.

It is an arithmetic number, because the mean of its divisors is an integer number (207799200).

Almost surely, 2^42078808800 is an apocalyptic number.

42078808800 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 42078808800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89769254400).

42078808800 is an abundant number, since it is smaller than the sum of its proper divisors (137459700000).

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

42078808800 is a wasteful number, since it uses less digits than its factorization.

42078808800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 605 (or 579 counting only the distinct ones).

The product of its (nonzero) digits is 229376, while the sum is 45.

The spelling of 42078808800 in words is "forty-two billion, seventy-eight million, eight hundred eight thousand, eight hundred".