441460064144 has 80 divisors (see below), whose sum is σ = 942262834176. Its totient is φ = 198691996800.

The previous prime is 441460064141. The next prime is 441460064197.

441460064144 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 441460064098 and 441460064107.

It is not an unprimeable number, because it can be changed into a prime (441460064141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51049229 + ... + 51057875.

Almost surely, 2^441460064144 is an apocalyptic number.

441460064144 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 441460064144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471131417088).

441460064144 is an abundant number, since it is smaller than the sum of its proper divisors (500802770032).

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

441460064144 is a wasteful number, since it uses less digits than its factorization.

441460064144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11484 (or 11478 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 38.

It can be divided in two parts, 4414600 and 64144, that added together give a palindrome (4478744).

The spelling of 441460064144 in words is "four hundred forty-one billion, four hundred sixty million, sixty-four thousand, one hundred forty-four".