441777831648 has 48 divisors (see below), whose sum is σ = 1160496086400. Its totient is φ = 147153972096.

The previous prime is 441777831647. The next prime is 441777831661. The reversal of 441777831648 is 846138777144.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 441777831591 and 441777831600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (441777831647) 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 7 ways as a sum of consecutive naturals, for example, 1510390 + ... + 1778997.

It is an arithmetic number, because the mean of its divisors is an integer number (24177001800).

Almost surely, 2^441777831648 is an apocalyptic number.

441777831648 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

441777831648 is an abundant number, since it is smaller than the sum of its proper divisors (718718254752).

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

441777831648 is a wasteful number, since it uses less digits than its factorization.

441777831648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3290799 (or 3290791 counting only the distinct ones).

The product of its digits is 25288704, while the sum is 60.

The spelling of 441777831648 in words is "four hundred forty-one billion, seven hundred seventy-seven million, eight hundred thirty-one thousand, six hundred forty-eight".