447310080000 has 1440 divisors, whose sum is σ = 1937338603200. Its totient is φ = 99864576000.

The previous prime is 447310079963. The next prime is 447310080001. The reversal of 447310080000 is 80013744.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (447310080001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 10402559979 + ... + 10402560021.

It is an arithmetic number, because the mean of its divisors is an integer number (1345374030).

Almost surely, 2^447310080000 is an apocalyptic number.

447310080000 is a gapful number since it is divisible by the number (40) 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 447310080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (968669301600).

447310080000 is an abundant number, since it is smaller than the sum of its proper divisors (1490028523200).

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

447310080000 is an frugal number, since it uses more digits than its factorization.

447310080000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

447310080000 divided by its product of nonzero digits (2688) gives a square (166410000 = 12900²).

Adding to 447310080000 its reverse (80013744), we get a palindrome (447390093744).

The spelling of 447310080000 in words is "four hundred forty-seven billion, three hundred ten million, eighty thousand".