444490240896 has 384 divisors, whose sum is σ = 1420653911040. Its totient is φ = 132535111680.

The previous prime is 444490240891. The next prime is 444490240991. The reversal of 444490240896 is 698042094444.

444490240896 is a `hidden beast` number, since 4 + 44 + 490 + 24 + 0 + 8 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×444490240896² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444490240891) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 72495751 + ... + 72501881.

It is an arithmetic number, because the mean of its divisors is an integer number (3699619560).

Almost surely, 2^444490240896 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 444490240896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (710326955520).

444490240896 is an abundant number, since it is smaller than the sum of its proper divisors (976163670144).

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

444490240896 is a wasteful number, since it uses less digits than its factorization.

444490240896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6314 (or 6299 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 54.

The spelling of 444490240896 in words is "four hundred forty-four billion, four hundred ninety million, two hundred forty thousand, eight hundred ninety-six".