1144340131312 has 80 divisors (see below), whose sum is σ = 2626614028800. Its totient is φ = 472554996480.

The previous prime is 1144340131271. The next prime is 1144340131313. The reversal of 1144340131312 is 2131310434411.

It is a super-2 number, since 2×1144340131312² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1144340131313) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1235989 + ... + 1953547.

It is an arithmetic number, because the mean of its divisors is an integer number (32832675360).

Almost surely, 2^{1144340131312} 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 1144340131312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1313307014400).

1144340131312 is an abundant number, since it is smaller than the sum of its proper divisors (1482273897488).

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

1144340131312 is a wasteful number, since it uses less digits than its factorization.

1144340131312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 718094 (or 718088 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

Adding to 1144340131312 its reverse (2131310434411), we get a palindrome (3275650565723).

The spelling of 1144340131312 in words is "one trillion, one hundred forty-four billion, three hundred forty million, one hundred thirty-one thousand, three hundred twelve".