447530111508480 has 2688 divisors, whose sum is σ = 1944824590001664. Its totient is φ = 85505416888320.

The previous prime is 447530111508323. The next prime is 447530111508497. The reversal of 447530111508480 is 84805111035744.

It is a tau number, because it is divible by the number of its divisors (2688).

It is a super-2 number, since 2×447530111508480² (a number of 30 digits) contains 22 as substring.

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, 477620182572 + ... + 477620183508.

It is an arithmetic number, because the mean of its divisors is an integer number (723521052828).

Almost surely, 2^{447530111508480} is an apocalyptic number.

447530111508480 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 447530111508480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (972412295000832).

447530111508480 is an abundant number, since it is smaller than the sum of its proper divisors (1497294478493184).

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

447530111508480 is a wasteful number, since it uses less digits than its factorization.

447530111508480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1366 (or 1331 counting only the distinct ones).

The product of its (nonzero) digits is 2150400, while the sum is 51.

The spelling of 447530111508480 in words is "four hundred forty-seven trillion, five hundred thirty billion, one hundred eleven million, five hundred eight thousand, four hundred eighty".