441146002208 has 18 divisors (see below), whose sum is σ = 868513588929. Its totient is φ = 220571122496.

The previous prime is 441146002207. The next prime is 441146002247. The reversal of 441146002208 is 802200641144.

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 367299026704 + 73846975504 = 606052^2 + 271748^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=469652.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (441146002207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 3698510 + ... + 3815922.

Almost surely, 2^441146002208 is an apocalyptic number.

It is an amenable number.

441146002208 is a deficient number, since it is larger than the sum of its proper divisors (427367586721).

441146002208 is an frugal number, since it uses more digits than its factorization.

441146002208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234836 (or 117415 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

Multiplying 441146002208 by its sum of digits (32), we get a square (14116672070656 = 3757216²).

441146002208 divided by its sum of digits (32) gives a square (13785812569 = 117413²).

The spelling of 441146002208 in words is "four hundred forty-one billion, one hundred forty-six million, two thousand, two hundred eight".