440800448480 has 72 divisors (see below), whose sum is σ = 1211414111208. Its totient is φ = 151131579648.

The previous prime is 440800448479. The next prime is 440800448531. The reversal of 440800448480 is 84844008044.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28104434 + ... + 28120113.

It is an arithmetic number, because the mean of its divisors is an integer number (16825195989).

Almost surely, 2^440800448480 is an apocalyptic number.

440800448480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

440800448480 is an abundant number, since it is smaller than the sum of its proper divisors (770613662728).

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

440800448480 is a wasteful number, since it uses less digits than its factorization.

440800448480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56224576 (or 56224561 counting only the distinct ones).

The product of its (nonzero) digits is 524288, while the sum is 44.

The spelling of 440800448480 in words is "four hundred forty billion, eight hundred million, four hundred forty-eight thousand, four hundred eighty".