1144023310304 has 96 divisors (see below), whose sum is σ = 2630503915200. Its totient is φ = 489564020736.

The previous prime is 1144023310301. The next prime is 1144023310319. The reversal of 1144023310304 is 4030133204411.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1144023310301) 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, 7309412 + ... + 7464284.

It is an arithmetic number, because the mean of its divisors is an integer number (27401082450).

Almost surely, 2^{1144023310304} is an apocalyptic number.

1144023310304 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 1144023310304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1315251957600).

1144023310304 is an abundant number, since it is smaller than the sum of its proper divisors (1486480604896).

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

1144023310304 is an equidigital number, since it uses as much as digits as its factorization.

1144023310304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155577 (or 155555 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 1144023310304 its reverse (4030133204411), we get a palindrome (5174156514715).

The spelling of 1144023310304 in words is "one trillion, one hundred forty-four billion, twenty-three million, three hundred ten thousand, three hundred four".