42161616 has 120 divisors (see below), whose sum is σ = 136233344. Its totient is φ = 11923200.

The previous prime is 42161591. The next prime is 42161617. The reversal of 42161616 is 61616124.

42161616 is a `hidden beast` number, since 42 + 1 + 6 + 1 + 616 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 42161616.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42161617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 152070 + ... + 152346.

Almost surely, 2^42161616 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 42161616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68116672).

42161616 is an abundant number, since it is smaller than the sum of its proper divisors (94071728).

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

42161616 is a wasteful number, since it uses less digits than its factorization.

42161616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449 (or 440 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 42161616 is about 6493.1976714097. The cubic root of 42161616 is about 348.0479521714.

It can be divided in two parts, 4216 and 1616, that added together give a cube (5832 = 18³).

The spelling of 42161616 in words is "forty-two million, one hundred sixty-one thousand, six hundred sixteen".