447142674162240 has 1344 divisors, whose sum is σ = 1866633816453120. Its totient is φ = 96068740055040.

The previous prime is 447142674162167. The next prime is 447142674162253. The reversal of 447142674162240 is 42261476241744.

447142674162240 is a `hidden beast` number, since 4 + 4 + 7 + 1 + 4 + 2 + 6 + 7 + 4 + 1 + 622 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 13712231056 + ... + 13712263664.

Almost surely, 2^{447142674162240} is an apocalyptic number.

447142674162240 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 447142674162240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (933316908226560).

447142674162240 is an abundant number, since it is smaller than the sum of its proper divisors (1419491142290880).

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

447142674162240 is a wasteful number, since it uses less digits than its factorization.

447142674162240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33300 (or 33287 counting only the distinct ones).

The product of its (nonzero) digits is 14450688, while the sum is 54.

The spelling of 447142674162240 in words is "four hundred forty-seven trillion, one hundred forty-two billion, six hundred seventy-four million, one hundred sixty-two thousand, two hundred forty".