42216408 has 192 divisors, whose sum is σ = 134447040. Its totient is φ = 11860992.

The previous prime is 42216407. The next prime is 42216439. The reversal of 42216408 is 80461224.

42216408 is a `hidden beast` number, since 42 + 216 + 408 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42216401) 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 47 ways as a sum of consecutive naturals, for example, 796510 + ... + 796562.

It is an arithmetic number, because the mean of its divisors is an integer number (700245).

Almost surely, 2^42216408 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 42216408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67223520).

42216408 is an abundant number, since it is smaller than the sum of its proper divisors (92230632).

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

42216408 is a wasteful number, since it uses less digits than its factorization.

42216408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 42216408 is about 6497.4154861760. The cubic root of 42216408 is about 348.1986578774.

It can be divided in two parts, 42216 and 408, that added together give a palindrome (42624).

The spelling of 42216408 in words is "forty-two million, two hundred sixteen thousand, four hundred eight".