422728943616 has 576 divisors, whose sum is σ = 1525318179840. Its totient is φ = 109990379520.

The previous prime is 422728943587. The next prime is 422728943627. The reversal of 422728943616 is 616349827224.

It is a happy number.

422728943616 is a `hidden beast` number, since 4 + 2 + 272 + 8 + 9 + 4 + 361 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 67992540 + ... + 67998756.

It is an arithmetic number, because the mean of its divisors is an integer number (2648121840).

Almost surely, 2^422728943616 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 422728943616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (762659089920).

422728943616 is an abundant number, since it is smaller than the sum of its proper divisors (1102589236224).

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

422728943616 is a wasteful number, since it uses less digits than its factorization.

422728943616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6300 (or 6277 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 54.

The spelling of 422728943616 in words is "four hundred twenty-two billion, seven hundred twenty-eight million, nine hundred forty-three thousand, six hundred sixteen".