1444313402400 has 432 divisors, whose sum is σ = 5179262068512. Its totient is φ = 349338316800.

The previous prime is 1444313402353. The next prime is 1444313402407. The reversal of 1444313402400 is 42043134441.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (1444313402407) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 132707359 + ... + 132718241.

It is an arithmetic number, because the mean of its divisors is an integer number (11989032566).

Almost surely, 2^{1444313402400} is an apocalyptic number.

1444313402400 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 1444313402400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2589631034256).

1444313402400 is an abundant number, since it is smaller than the sum of its proper divisors (3734948666112).

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

1444313402400 is a wasteful number, since it uses less digits than its factorization.

1444313402400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11385 (or 11361 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 1444313402400 its reverse (42043134441), we get a palindrome (1486356536841).

The spelling of 1444313402400 in words is "one trillion, four hundred forty-four billion, three hundred thirteen million, four hundred two thousand, four hundred".