444844400088 has 192 divisors, whose sum is σ = 1290472485120. Its totient is φ = 126633024000.

The previous prime is 444844400081. The next prime is 444844400093. The reversal of 444844400088 is 880004448444.

It is a super-2 number, since 2×444844400088² (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 (444844400081) 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, 8187813 + ... + 8241963.

It is an arithmetic number, because the mean of its divisors is an integer number (6721210860).

Almost surely, 2^444844400088 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 444844400088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (645236242560).

444844400088 is an abundant number, since it is smaller than the sum of its proper divisors (845628085032).

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

444844400088 is a wasteful number, since it uses less digits than its factorization.

444844400088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54266 (or 54233 counting only the distinct ones).

The product of its (nonzero) digits is 2097152, while the sum is 48.

The spelling of 444844400088 in words is "four hundred forty-four billion, eight hundred forty-four million, four hundred thousand, eighty-eight".