441228664832 has 126 divisors (see below), whose sum is σ = 909531455889. Its totient is φ = 214031073280.

The previous prime is 441228664823. The next prime is 441228664879. The reversal of 441228664832 is 238466822144.

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.

It can be written as a sum of positive squares in 2 ways, for example, as 315107086336 + 126121578496 = 561344^2 + 355136^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=469696.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2464964519 + ... + 2464964697.

Almost surely, 2^441228664832 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 441228664832

441228664832 is an abundant number, since it is smaller than the sum of its proper divisors (468302791057).

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

441228664832 is an frugal number, since it uses more digits than its factorization.

441228664832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466 (or 222 counting only the distinct ones).

The product of its digits is 3538944, while the sum is 50.

Multiplying 441228664832 by its sum of digits (50), we get a square (22061433241600 = 4696960²).

The spelling of 441228664832 in words is "four hundred forty-one billion, two hundred twenty-eight million, six hundred sixty-four thousand, eight hundred thirty-two".