441629870080 has 384 divisors, whose sum is σ = 1236346675200. Its totient is φ = 148285882368.

The previous prime is 441629870063. The next prime is 441629870089. The reversal of 441629870080 is 80078926144.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (441629870089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 945674007 + ... + 945674473.

It is an arithmetic number, because the mean of its divisors is an integer number (3219652800).

Almost surely, 2^441629870080 is an apocalyptic number.

441629870080 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 441629870080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618173337600).

441629870080 is an abundant number, since it is smaller than the sum of its proper divisors (794716805120).

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

441629870080 is a wasteful number, since it uses less digits than its factorization.

441629870080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 747 (or 727 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 49.

The spelling of 441629870080 in words is "four hundred forty-one billion, six hundred twenty-nine million, eight hundred seventy thousand, eighty".