1444410033040 has 40 divisors (see below), whose sum is σ = 3616580508408. Its totient is φ = 533320627200.

The previous prime is 1444410033029. The next prime is 1444410033047. The reversal of 1444410033040 is 403300144441.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 262144 + 1444409770896 = 512^2 + 1201836^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×1444410033040² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1444410033047) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 694426861 + ... + 694428940.

Almost surely, 2^{1444410033040} is an apocalyptic number.

1444410033040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1444410033040 is an abundant number, since it is smaller than the sum of its proper divisors (2172170475368).

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

1444410033040 is a wasteful number, since it uses less digits than its factorization.

1444410033040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1388855827 (or 1388855821 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 1444410033040 its reverse (403300144441), we get a palindrome (1847710177481).

The spelling of 1444410033040 in words is "one trillion, four hundred forty-four billion, four hundred ten million, thirty-three thousand, forty".