441546645144 has 128 divisors (see below), whose sum is σ = 1237229049600. Its totient is φ = 130136855040.

The previous prime is 441546645101. The next prime is 441546645167.

441546645144 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 441546645093 and 441546645102.

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, 32295942 + ... + 32309610.

It is an arithmetic number, because the mean of its divisors is an integer number (9665851950).

Almost surely, 2^441546645144 is an apocalyptic number.

441546645144 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 441546645144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618614524800).

441546645144 is an abundant number, since it is smaller than the sum of its proper divisors (795682404456).

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

441546645144 is a wasteful number, since it uses less digits than its factorization.

441546645144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17033 (or 17029 counting only the distinct ones).

The product of its digits is 3686400, while the sum is 48.

The spelling of 441546645144 in words is "four hundred forty-one billion, five hundred forty-six million, six hundred forty-five thousand, one hundred forty-four".