42180978816 has 576 divisors, whose sum is σ = 137300616960. Its totient is φ = 12408422400.

The previous prime is 42180978809. The next prime is 42180978821. The reversal of 42180978816 is 61887908124.

It is a tau number, because it is divible by the number of its divisors (576).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 629566815 + ... + 629566881.

Almost surely, 2^42180978816 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 42180978816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68650308480).

42180978816 is an abundant number, since it is smaller than the sum of its proper divisors (95119638144).

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

42180978816 is a wasteful number, since it uses less digits than its factorization.

42180978816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 54.

The spelling of 42180978816 in words is "forty-two billion, one hundred eighty million, nine hundred seventy-eight thousand, eight hundred sixteen".