444403640016 has 240 divisors, whose sum is σ = 1561249597440. Its totient is φ = 115059605760.

The previous prime is 444403639909. The next prime is 444403640017. The reversal of 444403640016 is 610046304444.

444403640016 is a `hidden beast` number, since 4 + 4 + 4 + 4 + 0 + 3 + 640 + 0 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444403640017) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 63940 + ... + 944931.

It is an arithmetic number, because the mean of its divisors is an integer number (6505206656).

Almost surely, 2^444403640016 is an apocalyptic number.

444403640016 is a gapful number since it is divisible by the number (46) 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 444403640016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (780624798720).

444403640016 is an abundant number, since it is smaller than the sum of its proper divisors (1116845957424).

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

444403640016 is a wasteful number, since it uses less digits than its factorization.

444403640016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1008934 (or 1008925 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The spelling of 444403640016 in words is "four hundred forty-four billion, four hundred three million, six hundred forty thousand, sixteen".