1144402103424 has 128 divisors (see below), whose sum is σ = 3048161129280. Its totient is φ = 380422000640.

The previous prime is 1144402103419. The next prime is 1144402103437. The reversal of 1144402103424 is 4243012044411.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 1144402103391 and 1144402103400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 246795634 + ... + 246800270.

Almost surely, 2^{1144402103424} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1144402103424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1524080564640).

1144402103424 is an abundant number, since it is smaller than the sum of its proper divisors (1903759025856).

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

1144402103424 is an equidigital number, since it uses as much as digits as its factorization.

1144402103424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6278 (or 6266 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 1144402103424 its reverse (4243012044411), we get a palindrome (5387414147835).

The spelling of 1144402103424 in words is "one trillion, one hundred forty-four billion, four hundred two million, one hundred three thousand, four hundred twenty-four".