447071742432 has 72 divisors (see below), whose sum is σ = 1452983169456. Its totient is φ = 127734782976.

The previous prime is 447071742349. The next prime is 447071742437. The reversal of 447071742432 is 234247170744.

447071742432 is a `hidden beast` number, since 4 + 47 + 0 + 7 + 174 + 2 + 432 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (447071742437) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 110878873 + ... + 110882904.

It is an arithmetic number, because the mean of its divisors is an integer number (20180321798).

Almost surely, 2^447071742432 is an apocalyptic number.

447071742432 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

447071742432 is an abundant number, since it is smaller than the sum of its proper divisors (1005911427024).

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

447071742432 is a wasteful number, since it uses less digits than its factorization.

447071742432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221761800 (or 221761789 counting only the distinct ones).

The product of its (nonzero) digits is 1053696, while the sum is 45.

The spelling of 447071742432 in words is "four hundred forty-seven billion, seventy-one million, seven hundred forty-two thousand, four hundred thirty-two".