1444343401000 has 128 divisors (see below), whose sum is σ = 3393995904000. Its totient is φ = 575308416000.

The previous prime is 1444343400967. The next prime is 1444343401001. The reversal of 1444343401000 is 1043434441.

It is a happy number.

It is a super-2 number, since 2×1444343401000² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1444343401000.

It is not an unprimeable number, because it can be changed into a prime (1444343401001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 463077441 + ... + 463080559.

It is an arithmetic number, because the mean of its divisors is an integer number (26515593000).

Almost surely, 2^{1444343401000} is an apocalyptic number.

1444343401000 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 1444343401000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1696997952000).

1444343401000 is an abundant number, since it is smaller than the sum of its proper divisors (1949652503000).

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

1444343401000 is a wasteful number, since it uses less digits than its factorization.

1444343401000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4940 (or 4926 counting only the distinct ones).

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

Adding to 1444343401000 its reverse (1043434441), we get a palindrome (1445386835441).

The spelling of 1444343401000 in words is "one trillion, four hundred forty-four billion, three hundred forty-three million, four hundred one thousand".