447144441744 has 320 divisors, whose sum is σ = 1592858050560. Its totient is φ = 104309544960.

The previous prime is 447144441703. The next prime is 447144441767.

447144441744 is nontrivially palindromic in base 10.

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 = 447144441693 and 447144441702.

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 63 ways as a sum of consecutive naturals, for example, 1652017 + ... + 1903535.

It is an arithmetic number, because the mean of its divisors is an integer number (4977681408).

Almost surely, 2^447144441744 is an apocalyptic number.

447144441744 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 447144441744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (796429025280).

447144441744 is an abundant number, since it is smaller than the sum of its proper divisors (1145713608816).

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

447144441744 is a wasteful number, since it uses less digits than its factorization.

447144441744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251598 (or 251592 counting only the distinct ones).

The product of its digits is 3211264, while the sum is 48.

It can be divided in two parts, 447144 and 441744, that added together give a palindrome (888888).

The spelling of 447144441744 in words is "four hundred forty-seven billion, one hundred forty-four million, four hundred forty-one thousand, seven hundred forty-four".