441484436728148 has 96 divisors (see below), whose sum is σ = 890779327764480. Its totient is φ = 189344891088000.

The previous prime is 441484436728099. The next prime is 441484436728157. The reversal of 441484436728148 is 841827634484144.

It is a super-3 number, since 3×441484436728148³ (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 930024218 + ... + 930498798.

It is an arithmetic number, because the mean of its divisors is an integer number (9278951330880).

Almost surely, 2^{441484436728148} is an apocalyptic number.

It is an amenable number.

441484436728148 is an abundant number, since it is smaller than the sum of its proper divisors (449294891036332).

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

441484436728148 is a wasteful number, since it uses less digits than its factorization.

441484436728148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479109 (or 479107 counting only the distinct ones).

The product of its digits is 528482304, while the sum is 68.

The spelling of 441484436728148 in words is "four hundred forty-one trillion, four hundred eighty-four billion, four hundred thirty-six million, seven hundred twenty-eight thousand, one hundred forty-eight".