444206000040 has 256 divisors, whose sum is σ = 1549656576000. Its totient is φ = 100726778880.

The previous prime is 444205999967. The next prime is 444206000093. The reversal of 444206000040 is 40000602444.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1869222 + ... + 2093418.

It is an arithmetic number, because the mean of its divisors is an integer number (6053346000).

Almost surely, 2^444206000040 is an apocalyptic number.

444206000040 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 444206000040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (774828288000).

444206000040 is an abundant number, since it is smaller than the sum of its proper divisors (1105450575960).

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

444206000040 is a wasteful number, since it uses less digits than its factorization.

444206000040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224320 (or 224316 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 444206000040 its reverse (40000602444), we get a palindrome (484206602484).

The spelling of 444206000040 in words is "four hundred forty-four billion, two hundred six million, forty", and thus it is an aban number.