42008178816 has 96 divisors (see below), whose sum is σ = 120936464220. Its totient is φ = 13996523520.

The previous prime is 42008178787. The next prime is 42008178859. The reversal of 42008178816 is 61887180024.

42008178816 is a `hidden beast` number, since 420 + 0 + 81 + 78 + 81 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 41273985600 + 734193216 = 203160^2 + 27096^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3118656 + ... + 3132096.

Almost surely, 2^42008178816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42008178816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60468232110).

42008178816 is an abundant number, since it is smaller than the sum of its proper divisors (78928285404).

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

42008178816 is a wasteful number, since it uses less digits than its factorization.

42008178816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16174 (or 16159 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 45.

The spelling of 42008178816 in words is "forty-two billion, eight million, one hundred seventy-eight thousand, eight hundred sixteen".