447125999961600 has 2880 divisors, whose sum is σ = 1833105493739520. Its totient is φ = 107495424000000.

The previous prime is 447125999961533. The next prime is 447125999961607. The reversal of 447125999961600 is 6169999521744.

447125999961600 is a `hidden beast` number, since 4 + 4 + 7 + 1 + 2 + 5 + 9 + 9 + 9 + 9 + 6 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (447125999961607) by changing a digit.

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 287 ways as a sum of consecutive naturals, for example, 111753559600 + ... + 111753563600.

It is an arithmetic number, because the mean of its divisors is an integer number (636494963104).

Almost surely, 2^{447125999961600} is an apocalyptic number.

447125999961600 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 447125999961600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (916552746869760).

447125999961600 is an abundant number, since it is smaller than the sum of its proper divisors (1385979493777920).

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

447125999961600 is a wasteful number, since it uses less digits than its factorization.

447125999961600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4155 (or 4122 counting only the distinct ones).

The product of its (nonzero) digits is 264539520, while the sum is 72.

The spelling of 447125999961600 in words is "four hundred forty-seven trillion, one hundred twenty-five billion, nine hundred ninety-nine million, nine hundred sixty-one thousand, six hundred".