444132410560 has 112 divisors (see below), whose sum is σ = 1061998497792. Its totient is φ = 176913792000.

The previous prime is 444132410537. The next prime is 444132410569. The reversal of 444132410560 is 65014231444.

It is not an unprimeable number, because it can be changed into a prime (444132410569) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 121912099 + ... + 121915741.

Almost surely, 2^444132410560 is an apocalyptic number.

444132410560 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 444132410560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530999248896).

444132410560 is an abundant number, since it is smaller than the sum of its proper divisors (617866087232).

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

444132410560 is a wasteful number, since it uses less digits than its factorization.

444132410560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5142 (or 5132 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 34.

The spelling of 444132410560 in words is "four hundred forty-four billion, one hundred thirty-two million, four hundred ten thousand, five hundred sixty".