441663366144 has 704 divisors, whose sum is σ = 1594973140992. Its totient is φ = 105804103680.

The previous prime is 441663366101. The next prime is 441663366169.

441663366144 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (704).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 441663366093 and 441663366102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 372083119 + ... + 372084305.

It is an arithmetic number, because the mean of its divisors is an integer number (2265586848).

Almost surely, 2^441663366144 is an apocalyptic number.

441663366144 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 441663366144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (797486570496).

441663366144 is an abundant number, since it is smaller than the sum of its proper divisors (1153309774848).

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

441663366144 is a wasteful number, since it uses less digits than its factorization.

441663366144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1263 (or 1223 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 48.

The spelling of 441663366144 in words is "four hundred forty-one billion, six hundred sixty-three million, three hundred sixty-six thousand, one hundred forty-four".