1144411013440 has 112 divisors (see below), whose sum is σ = 2761158816000. Its totient is φ = 451718572032.

The previous prime is 1144411013437. The next prime is 1144411013491. The reversal of 1144411013440 is 443101144411.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1144411013399 and 1144411013408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49259107 + ... + 49282333.

Almost surely, 2^{1144411013440} is an apocalyptic number.

1144411013440 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 1144411013440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1380579408000).

1144411013440 is an abundant number, since it is smaller than the sum of its proper divisors (1616747802560).

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

1144411013440 is a wasteful number, since it uses less digits than its factorization.

1144411013440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25272 (or 25262 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

Adding to 1144411013440 its reverse (443101144411), we get a palindrome (1587512157851).

The spelling of 1144411013440 in words is "one trillion, one hundred forty-four billion, four hundred eleven million, thirteen thousand, four hundred forty".