441951364608 has 240 divisors, whose sum is σ = 1294000589376. Its totient is φ = 133950136320.

The previous prime is 441951364559. The next prime is 441951364633. The reversal of 441951364608 is 806463159144.

It is a happy number.

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 23 ways as a sum of consecutive naturals, for example, 17379423 + ... + 17404833.

Almost surely, 2^441951364608 is an apocalyptic number.

441951364608 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 441951364608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (647000294688).

441951364608 is an abundant number, since it is smaller than the sum of its proper divisors (852049224768).

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

441951364608 is a wasteful number, since it uses less digits than its factorization.

441951364608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25525 (or 25496 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 51.

The spelling of 441951364608 in words is "four hundred forty-one billion, nine hundred fifty-one million, three hundred sixty-four thousand, six hundred eight".