444429599472 has 480 divisors, whose sum is σ = 1423883865600. Its totient is φ = 132246411264.

The previous prime is 444429599443. The next prime is 444429599501. The reversal of 444429599472 is 274995924444.

444429599472 is a `hidden beast` number, since 4 + 4 + 4 + 429 + 59 + 94 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (444429599443) and next prime (444429599501).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 540011253 + ... + 540012075.

It is an arithmetic number, because the mean of its divisors is an integer number (2966424720).

Almost surely, 2^444429599472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 444429599472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (711941932800).

444429599472 is an abundant number, since it is smaller than the sum of its proper divisors (979454266128).

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

444429599472 is a wasteful number, since it uses less digits than its factorization.

444429599472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1042 (or 1007 counting only the distinct ones).

The product of its digits is 104509440, while the sum is 63.

The spelling of 444429599472 in words is "four hundred forty-four billion, four hundred twenty-nine million, five hundred ninety-nine thousand, four hundred seventy-two".