444441600000 has 672 divisors, whose sum is σ = 1648433868480. Its totient is φ = 118333440000.

The previous prime is 444441599989. The next prime is 444441600011. The reversal of 444441600000 is 6144444.

It is an interprime number because it is at equal distance from previous prime (444441599989) and next prime (444441600011).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 691199679 + ... + 691200321.

It is an arithmetic number, because the mean of its divisors is an integer number (2453026590).

Almost surely, 2^444441600000 is an apocalyptic number.

444441600000 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 444441600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (824216934240).

444441600000 is an abundant number, since it is smaller than the sum of its proper divisors (1203992268480).

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

444441600000 is an frugal number, since it uses more digits than its factorization.

444441600000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 703 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 444441600000 its reverse (6144444), we get a palindrome (444447744444).

The spelling of 444441600000 in words is "four hundred forty-four billion, four hundred forty-one million, six hundred thousand".