42228606016 has 63 divisors (see below), whose sum is σ = 89075556037. Its totient is φ = 19859133440.

The previous prime is 42228605977. The next prime is 42228606059. The reversal of 42228606016 is 61060682224.

The square root of 42228606016 is 205496.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 32876942400 + 9351663616 = 181320^2 + 96704^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 27946701 + ... + 27948211.

Almost surely, 2^42228606016 is an apocalyptic number.

42228606016 is the 205496-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42228606016

42228606016 is an abundant number, since it is smaller than the sum of its proper divisors (46846950021).

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

42228606016 is an frugal number, since it uses more digits than its factorization.

42228606016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3068 (or 1530 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 37.

The spelling of 42228606016 in words is "forty-two billion, two hundred twenty-eight million, six hundred six thousand, sixteen".