1444020224040 has 256 divisors, whose sum is σ = 5101718515200. Its totient is φ = 362052661248.

The previous prime is 1444020224039. The next prime is 1444020224093. The reversal of 1444020224040 is 404220204441.

1444020224040 is a `hidden beast` number, since 14 + 4 + 40 + 202 + 2 + 404 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1444020223995 and 1444020224013.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18265477 + ... + 18344363.

It is an arithmetic number, because the mean of its divisors is an integer number (19928587950).

Almost surely, 2^{1444020224040} is an apocalyptic number.

1444020224040 is a gapful number since it is divisible by the number (10) 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 1444020224040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2550859257600).

1444020224040 is an abundant number, since it is smaller than the sum of its proper divisors (3657698291160).

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

1444020224040 is a wasteful number, since it uses less digits than its factorization.

1444020224040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79921 (or 79911 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 27.

Adding to 1444020224040 its reverse (404220204441), we get a palindrome (1848240428481).

The spelling of 1444020224040 in words is "one trillion, four hundred forty-four billion, twenty million, two hundred twenty-four thousand, forty".