447120021744 has 720 divisors, whose sum is σ = 1481476179456. Its totient is φ = 124700774400.

The previous prime is 447120021721. The next prime is 447120021773.

447120021744 is a `hidden beast` number, since 447 + 1 + 200 + 2 + 1 + 7 + 4 + 4 = 666.

447120021744 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 447120021699 and 447120021708.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4178691739 + ... + 4178691845.

Almost surely, 2^447120021744 is an apocalyptic number.

447120021744 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 447120021744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (740738089728).

447120021744 is an abundant number, since it is smaller than the sum of its proper divisors (1034356157712).

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

447120021744 is a wasteful number, since it uses less digits than its factorization.

447120021744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 36.

It can be divided in two parts, 4471200 and 21744, that added together give a palindrome (4492944).

The spelling of 447120021744 in words is "four hundred forty-seven billion, one hundred twenty million, twenty-one thousand, seven hundred forty-four".