447381441112320 has 3456 divisors, whose sum is σ = 1967731760332800. Its totient is φ = 95493758976000.

The previous prime is 447381441112313. The next prime is 447381441112343. The reversal of 447381441112320 is 23211144183744.

447381441112320 is a `hidden beast` number, since 4 + 4 + 7 + 3 + 81 + 441 + 1 + 123 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 119652697011 + ... + 119652700749.

It is an arithmetic number, because the mean of its divisors is an integer number (569366828800).

Almost surely, 2^{447381441112320} is an apocalyptic number.

447381441112320 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 447381441112320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (983865880166400).

447381441112320 is an abundant number, since it is smaller than the sum of its proper divisors (1520350319220480).

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

447381441112320 is a wasteful number, since it uses less digits than its factorization.

447381441112320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3906 (or 3875 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 447381441112320 in words is "four hundred forty-seven trillion, three hundred eighty-one billion, four hundred forty-one million, one hundred twelve thousand, three hundred twenty".