441408675680 has 240 divisors, whose sum is σ = 1220779504224. Its totient is φ = 150815508480.

The previous prime is 441408675679. The next prime is 441408675683. The reversal of 441408675680 is 86576804144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (441408675683) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 120240245 + ... + 120243915.

Almost surely, 2^441408675680 is an apocalyptic number.

441408675680 is a gapful number since it is divisible by the number (40) 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 441408675680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (610389752112).

441408675680 is an abundant number, since it is smaller than the sum of its proper divisors (779370828544).

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

441408675680 is an equidigital number, since it uses as much as digits as its factorization.

441408675680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4027 (or 3998 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 53.

The spelling of 441408675680 in words is "four hundred forty-one billion, four hundred eight million, six hundred seventy-five thousand, six hundred eighty".