441555255504 has 160 divisors (see below), whose sum is σ = 1383061180800. Its totient is φ = 133764618240.

The previous prime is 441555255473. The next prime is 441555255509. The reversal of 441555255504 is 405552555144.

It is a happy number.

441555255504 is a `hidden beast` number, since 4 + 41 + 5 + 5 + 52 + 5 + 550 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 441555255504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (441555255509) 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 31 ways as a sum of consecutive naturals, for example, 18468582 + ... + 18492474.

It is an arithmetic number, because the mean of its divisors is an integer number (8644132380).

Almost surely, 2^441555255504 is an apocalyptic number.

441555255504 is a gapful number since it is divisible by the number (44) 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 441555255504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (691530590400).

441555255504 is an abundant number, since it is smaller than the sum of its proper divisors (941505925296).

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

441555255504 is a wasteful number, since it uses less digits than its factorization.

441555255504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27810 (or 27798 counting only the distinct ones).

The product of its (nonzero) digits is 2000000, while the sum is 45.

The spelling of 441555255504 in words is "four hundred forty-one billion, five hundred fifty-five million, two hundred fifty-five thousand, five hundred four".