444205040000 has 160 divisors (see below), whose sum is σ = 1110695401200. Its totient is φ = 176898816000.

The previous prime is 444205039987. The next prime is 444205040011. The reversal of 444205040000 is 40502444.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×444205040000² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

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 19 ways as a sum of consecutive naturals, for example, 18307877 + ... + 18332123.

Almost surely, 2^444205040000 is an apocalyptic number.

444205040000 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 444205040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (555347700600).

444205040000 is an abundant number, since it is smaller than the sum of its proper divisors (666490361200).

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

444205040000 is an equidigital number, since it uses as much as digits as its factorization.

444205040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24510 (or 24483 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 23.

Adding to 444205040000 its reverse (40502444), we get a palindrome (444245542444).

The spelling of 444205040000 in words is "four hundred forty-four billion, two hundred five million, forty thousand".