444840000000 has 640 divisors, whose sum is σ = 1620811475712. Its totient is φ = 107520000000.

The previous prime is 444839999987. The next prime is 444840000013. The reversal of 444840000000 is 48444.

It is an interprime number because it is at equal distance from previous prime (444839999987) and next prime (444840000013).

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1319999832 + ... + 1320000168.

Almost surely, 2^444840000000 is an apocalyptic number.

444840000000 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 444840000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (810405737856).

444840000000 is an abundant number, since it is smaller than the sum of its proper divisors (1175971475712).

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

444840000000 is an frugal number, since it uses more digits than its factorization.

444840000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 444840000000 its reverse (48444), we get a palindrome (444840048444).

The spelling of 444840000000 in words is "four hundred forty-four billion, eight hundred forty million", and thus it is an aban number.