42084354816 has 720 divisors, whose sum is σ = 150274062400. Its totient is φ = 11705057280.

The previous prime is 42084354799. The next prime is 42084354841. The reversal of 42084354816 is 61845348024.

42084354816 is a `hidden beast` number, since 4 + 20 + 84 + 3 + 548 + 1 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 433859280 + ... + 433859376.

Almost surely, 2^42084354816 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 42084354816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75137031200).

42084354816 is an abundant number, since it is smaller than the sum of its proper divisors (108189707584).

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

42084354816 is an frugal number, since it uses more digits than its factorization.

42084354816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

It can be divided in two parts, 42084 and 354816, that added together give a square (396900 = 630²).

The spelling of 42084354816 in words is "forty-two billion, eighty-four million, three hundred fifty-four thousand, eight hundred sixteen".