1130444312144 has 120 divisors (see below), whose sum is σ = 2568399986880. Its totient is φ = 472155554304.

The previous prime is 1130444312117. The next prime is 1130444312147. The reversal of 1130444312144 is 4412134440311.

It is a super-3 number, since 3×1130444312144³ (a number of 37 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1130444312144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1130444312147) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 96704252 + ... + 96715940.

It is an arithmetic number, because the mean of its divisors is an integer number (21403333224).

Almost surely, 2^{1130444312144} is an apocalyptic number.

1130444312144 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 1130444312144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1284199993440).

1130444312144 is an abundant number, since it is smaller than the sum of its proper divisors (1437955674736).

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

1130444312144 is a wasteful number, since it uses less digits than its factorization.

1130444312144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12257 (or 12208 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

Adding to 1130444312144 its reverse (4412134440311), we get a palindrome (5542578752455).

The spelling of 1130444312144 in words is "one trillion, one hundred thirty billion, four hundred forty-four million, three hundred twelve thousand, one hundred forty-four".