1444800006 has 96 divisors (see below), whose sum is σ = 3457778688. Its totient is φ = 433278720.

The previous prime is 1444800001. The next prime is 1444800037. The reversal of 1444800006 is 6000084441.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1444800001) 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, 1812400 + ... + 1813196.

It is an arithmetic number, because the mean of its divisors is an integer number (36018528).

Almost surely, 2^1444800006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1444800006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1728889344).

1444800006 is an abundant number, since it is smaller than the sum of its proper divisors (2012978682).

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

1444800006 is a wasteful number, since it uses less digits than its factorization.

1444800006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1006 (or 1003 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 1444800006 is about 38010.5249371802. The cubic root of 1444800006 is about 1130.4965593759.

Adding to 1444800006 its reverse (6000084441), we get a palindrome (7444884447).

The spelling of 1444800006 in words is "one billion, four hundred forty-four million, eight hundred thousand, six".