441955250464 has 192 divisors, whose sum is σ = 1135383782400. Its totient is φ = 164442866688.

The previous prime is 441955250453. The next prime is 441955250497. The reversal of 441955250464 is 464052559144.

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 31 ways as a sum of consecutive naturals, for example, 7661859 + ... + 7719325.

It is an arithmetic number, because the mean of its divisors is an integer number (5913457200).

Almost surely, 2^441955250464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 441955250464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (567691891200).

441955250464 is an abundant number, since it is smaller than the sum of its proper divisors (693428531936).

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

441955250464 is a wasteful number, since it uses less digits than its factorization.

441955250464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57655 (or 57647 counting only the distinct ones).

The product of its (nonzero) digits is 3456000, while the sum is 49.

The spelling of 441955250464 in words is "four hundred forty-one billion, nine hundred fifty-five million, two hundred fifty thousand, four hundred sixty-four".