444479287680 has 512 divisors, whose sum is σ = 1660067136000. Its totient is φ = 112085213184.

The previous prime is 444479287649. The next prime is 444479287711. The reversal of 444479287680 is 86782974444.

444479287680 is a `hidden beast` number, since 4 + 4 + 4 + 479 + 2 + 87 + 6 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (444479287649) and next prime (444479287711).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 271519822 + ... + 271521458.

It is an arithmetic number, because the mean of its divisors is an integer number (3242318625).

Almost surely, 2^444479287680 is an apocalyptic number.

444479287680 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 444479287680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (830033568000).

444479287680 is an abundant number, since it is smaller than the sum of its proper divisors (1215587848320).

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

444479287680 is a wasteful number, since it uses less digits than its factorization.

444479287680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2511 (or 2493 counting only the distinct ones).

The product of its (nonzero) digits is 86704128, while the sum is 63.

The spelling of 444479287680 in words is "four hundred forty-four billion, four hundred seventy-nine million, two hundred eighty-seven thousand, six hundred eighty".