447066734400 has 3024 divisors, whose sum is σ = 2113351111872. Its totient is φ = 91968307200.

The previous prime is 447066734377. The next prime is 447066734441. The reversal of 447066734400 is 4437660744.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 431 ways as a sum of consecutive naturals, for example, 10396900779 + ... + 10396900821.

Almost surely, 2^447066734400 is an apocalyptic number.

447066734400 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 447066734400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1056675555936).

447066734400 is an abundant number, since it is smaller than the sum of its proper divisors (1666284377472).

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

447066734400 is a wasteful number, since it uses less digits than its factorization.

447066734400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 45.

The spelling of 447066734400 in words is "four hundred forty-seven billion, sixty-six million, seven hundred thirty-four thousand, four hundred".