441317161713144 has 128 divisors (see below), whose sum is σ = 1154523783421440. Its totient is φ = 140425350354432.

The previous prime is 441317161713061. The next prime is 441317161713161.

441317161713144 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 441317161713093 and 441317161713102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1974081837 + ... + 1974305379.

It is an arithmetic number, because the mean of its divisors is an integer number (9019717057980).

Almost surely, 2^{441317161713144} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 441317161713144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577261891710720).

441317161713144 is an abundant number, since it is smaller than the sum of its proper divisors (713206621708296).

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

441317161713144 is a wasteful number, since it uses less digits than its factorization.

441317161713144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265589 (or 265585 counting only the distinct ones).

The product of its digits is 677376, while the sum is 48.

The spelling of 441317161713144 in words is "four hundred forty-one trillion, three hundred seventeen billion, one hundred sixty-one million, seven hundred thirteen thousand, one hundred forty-four".