444240004640 has 96 divisors (see below), whose sum is σ = 1071561415680. Its totient is φ = 173977682944.

The previous prime is 444240004639. The next prime is 444240004673. The reversal of 444240004640 is 46400042444.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 444240004597 and 444240004606.

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 15 ways as a sum of consecutive naturals, for example, 4007237 + ... + 4116603.

It is an arithmetic number, because the mean of its divisors is an integer number (11162098080).

Almost surely, 2^444240004640 is an apocalyptic number.

444240004640 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 444240004640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535780707840).

444240004640 is an abundant number, since it is smaller than the sum of its proper divisors (627321411040).

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

444240004640 is a wasteful number, since it uses less digits than its factorization.

444240004640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109914 (or 109906 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 32.

The spelling of 444240004640 in words is "four hundred forty-four billion, two hundred forty million, four thousand, six hundred forty".