447152909322240 has 1152 divisors, whose sum is σ = 1709174766499200. Its totient is φ = 108110502297600.

The previous prime is 447152909322169. The next prime is 447152909322269. The reversal of 447152909322240 is 42223909251744.

It is a happy number.

447152909322240 is a `hidden beast` number, since 4 + 4 + 7 + 1 + 5 + 290 + 9 + 322 + 24 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 47716664755 + ... + 47716674125.

It is an arithmetic number, because the mean of its divisors is an integer number (1483658651475).

Almost surely, 2^{447152909322240} is an apocalyptic number.

447152909322240 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 447152909322240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (854587383249600).

447152909322240 is an abundant number, since it is smaller than the sum of its proper divisors (1262021857176960).

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

447152909322240 is a wasteful number, since it uses less digits than its factorization.

447152909322240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9826 (or 9781 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 447152909322240 in words is "four hundred forty-seven trillion, one hundred fifty-two billion, nine hundred nine million, three hundred twenty-two thousand, two hundred forty".