42084028116 has 96 divisors (see below), whose sum is σ = 117578737920. Its totient is φ = 12940207488.

The previous prime is 42084028067. The next prime is 42084028153. The reversal of 42084028116 is 61182048024.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2255361 + ... + 2273943.

It is an arithmetic number, because the mean of its divisors is an integer number (1224778520).

Almost surely, 2^42084028116 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 42084028116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58789368960).

42084028116 is an abundant number, since it is smaller than the sum of its proper divisors (75494709804).

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

42084028116 is a wasteful number, since it uses less digits than its factorization.

42084028116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20222 (or 20214 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 42084028116 in words is "forty-two billion, eighty-four million, twenty-eight thousand, one hundred sixteen".