444424225779072 has 2048 divisors, whose sum is σ = 1811904911769600. Its totient is φ = 103697252352000.

The previous prime is 444424225779011. The next prime is 444424225779077. The reversal of 444424225779072 is 270977522424444.

444424225779072 is a `hidden beast` number, since 4 + 4 + 4 + 4 + 2 + 422 + 57 + 7 + 90 + 72 = 666.

It is a super-3 number, since 3×444424225779072³ (a number of 45 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444424225779077) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 10237573047 + ... + 10237616457.

It is an arithmetic number, because the mean of its divisors is an integer number (884719195200).

Almost surely, 2^{444424225779072} is an apocalyptic number.

444424225779072 is a gapful number since it is divisible by the number (42) 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 444424225779072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (905952455884800).

444424225779072 is an abundant number, since it is smaller than the sum of its proper divisors (1367480685990528).

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

444424225779072 is a wasteful number, since it uses less digits than its factorization.

444424225779072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43573 (or 43555 counting only the distinct ones).

The product of its (nonzero) digits is 252887040, while the sum is 63.

The spelling of 444424225779072 in words is "four hundred forty-four trillion, four hundred twenty-four billion, two hundred twenty-five million, seven hundred seventy-nine thousand, seventy-two".