441135441162 has 96 divisors (see below), whose sum is σ = 1084930129920. Its totient is φ = 128419240320.

The previous prime is 441135441157. The next prime is 441135441211. The reversal of 441135441162 is 261144531144.

441135441162 is a `hidden beast` number, since 4 + 41 + 1 + 3 + 544 + 11 + 62 = 666.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 3300087 + ... + 3431157.

It is an arithmetic number, because the mean of its divisors is an integer number (11301355520).

Almost surely, 2^441135441162 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 441135441162, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542465064960).

441135441162 is an abundant number, since it is smaller than the sum of its proper divisors (643794688758).

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

441135441162 is a wasteful number, since it uses less digits than its factorization.

441135441162 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131868 (or 131865 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The spelling of 441135441162 in words is "four hundred forty-one billion, one hundred thirty-five million, four hundred forty-one thousand, one hundred sixty-two".