42002016 has 72 divisors (see below), whose sum is σ = 128270520. Its totient is φ = 11999232.

The previous prime is 42001997. The next prime is 42002017. The reversal of 42002016 is 61020024.

It is a junction number, because it is equal to n+sod(n) for n = 42001986 and 42002004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42002017) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 240 + ... + 9168.

It is an arithmetic number, because the mean of its divisors is an integer number (1781535).

Almost surely, 2^42002016 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 42002016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64135260).

42002016 is an abundant number, since it is smaller than the sum of its proper divisors (86268504).

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

42002016 is a wasteful number, since it uses less digits than its factorization.

42002016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8956 (or 8941 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 42002016 is about 6480.8962343182. The cubic root of 42002016 is about 347.6082260423.

It can be divided in two parts, 4200 and 2016, that added together give a triangular number (6216 = T₁₁₁).

The spelling of 42002016 in words is "forty-two million, two thousand, sixteen".