447610720128 has 256 divisors, whose sum is σ = 1441891584000. Its totient is φ = 121166438400.

The previous prime is 447610720127. The next prime is 447610720153. The reversal of 447610720128 is 821027016744.

It is a self number, because there is not a number n which added to its sum of digits gives 447610720128.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (447610720127) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1570798 + ... + 1833746.

It is an arithmetic number, because the mean of its divisors is an integer number (5632389000).

Almost surely, 2^447610720128 is an apocalyptic number.

447610720128 is a gapful number since it is divisible by the number (48) 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 447610720128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (720945792000).

447610720128 is an abundant number, since it is smaller than the sum of its proper divisors (994280863872).

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

447610720128 is a wasteful number, since it uses less digits than its factorization.

447610720128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263021 (or 263009 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 42.

The spelling of 447610720128 in words is "four hundred forty-seven billion, six hundred ten million, seven hundred twenty thousand, one hundred twenty-eight".