1144340130304 has 320 divisors, whose sum is σ = 2831798610432. Its totient is φ = 450861465600.

The previous prime is 1144340130257. The next prime is 1144340130313. The reversal of 1144340130304 is 4030310434411.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 488824174 + ... + 488826514.

Almost surely, 2^{1144340130304} is an apocalyptic number.

1144340130304 is a gapful number since it is divisible by the number (14) 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 1144340130304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1415899305216).

1144340130304 is an abundant number, since it is smaller than the sum of its proper divisors (1687458480128).

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

1144340130304 is a wasteful number, since it uses less digits than its factorization.

1144340130304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2567 (or 2551 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 1144340130304 its reverse (4030310434411), we get a palindrome (5174650564715).

The spelling of 1144340130304 in words is "one trillion, one hundred forty-four billion, three hundred forty million, one hundred thirty thousand, three hundred four".