441348099779808 has 2592 divisors, whose sum is σ = 1584195189857280. Its totient is φ = 115762419302400.

The previous prime is 441348099779779. The next prime is 441348099779843. The reversal of 441348099779808 is 808977990843144.

441348099779808 is a `hidden beast` number, since 4 + 41 + 3 + 480 + 9 + 9 + 7 + 7 + 98 + 0 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 1979139460785 + ... + 1979139461007.

It is an arithmetic number, because the mean of its divisors is an integer number (611186415840).

Almost surely, 2^{441348099779808} is an apocalyptic number.

441348099779808 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 441348099779808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (792097594928640).

441348099779808 is an abundant number, since it is smaller than the sum of its proper divisors (1142847090077472).

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

441348099779808 is a wasteful number, since it uses less digits than its factorization.

441348099779808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 3511517184, while the sum is 81.

The spelling of 441348099779808 in words is "four hundred forty-one trillion, three hundred forty-eight billion, ninety-nine million, seven hundred seventy-nine thousand, eight hundred eight".