447019341120 has 1008 divisors, whose sum is σ = 1820265776784. Its totient is φ = 100240588800.

The previous prime is 447019341101. The next prime is 447019341161. The reversal of 447019341120 is 21143910744.

447019341120 is a `hidden beast` number, since 447 + 0 + 1 + 93 + 4 + 1 + 120 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 3719048256 + 443300292864 = 60984^2 + 665808^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 361373142 + ... + 361374378.

It is an arithmetic number, because the mean of its divisors is an integer number (1805819223).

Almost surely, 2^447019341120 is an apocalyptic number.

447019341120 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 447019341120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (910132888392).

447019341120 is an abundant number, since it is smaller than the sum of its proper divisors (1373246435664).

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

447019341120 is a wasteful number, since it uses less digits than its factorization.

447019341120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1360 (or 1336 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 447019341120 in words is "four hundred forty-seven billion, nineteen million, three hundred forty-one thousand, one hundred twenty".