1144340411104 has 144 divisors (see below), whose sum is σ = 2558719210320. Its totient is φ = 499591249920.

The previous prime is 1144340411077. The next prime is 1144340411113. The reversal of 1144340411104 is 4011140434411.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57124162 + ... + 57144190.

It is an arithmetic number, because the mean of its divisors is an integer number (17768883405).

Almost surely, 2^{1144340411104} 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 1144340411104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1279359605160).

1144340411104 is an abundant number, since it is smaller than the sum of its proper divisors (1414378799216).

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

1144340411104 is a wasteful number, since it uses less digits than its factorization.

1144340411104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20301 (or 20264 counting only the distinct ones).

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

Adding to 1144340411104 its reverse (4011140434411), we get a palindrome (5155480845515).

The spelling of 1144340411104 in words is "one trillion, one hundred forty-four billion, three hundred forty million, four hundred eleven thousand, one hundred four".