416222281728 has 540 divisors, whose sum is σ = 1372430534475. Its totient is φ = 126127964160.

The previous prime is 416222281679. The next prime is 416222281733. The reversal of 416222281728 is 827182222614.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

416222281728 is a `hidden beast` number, since 4 + 1 + 622 + 2 + 2 + 8 + 17 + 2 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 208111140864 + 208111140864 = 456192^2 + 456192^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=456192.

Its product of digits (344064) is a multiple of the sum of its prime divisors (16).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 37838389243 + ... + 37838389253.

Almost surely, 2^416222281728 is an apocalyptic number.

416222281728 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 416222281728

416222281728 is an abundant number, since it is smaller than the sum of its proper divisors (956208252747).

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

416222281728 is an frugal number, since it uses more digits than its factorization.

416222281728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 16 counting only the distinct ones).

The product of its digits is 344064, while the sum is 45.

The spelling of 416222281728 in words is "four hundred sixteen billion, two hundred twenty-two million, two hundred eighty-one thousand, seven hundred twenty-eight".