1130123311440 has 160 divisors (see below), whose sum is σ = 3630076231680. Its totient is φ = 290501578752.

The previous prime is 1130123311393. The next prime is 1130123311441. The reversal of 1130123311440 is 441133210311.

It is a happy number.

It is a super-2 number, since 2×1130123311440² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1130123311440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1130123311441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4162737 + ... + 4425903.

It is an arithmetic number, because the mean of its divisors is an integer number (22687976448).

Almost surely, 2^{1130123311440} is an apocalyptic number.

1130123311440 is a gapful number since it is divisible by the number (10) 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 1130123311440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1815038115840).

1130123311440 is an abundant number, since it is smaller than the sum of its proper divisors (2499952920240).

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

1130123311440 is a wasteful number, since it uses less digits than its factorization.

1130123311440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263829 (or 263823 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 1130123311440 its reverse (441133210311), we get a palindrome (1571256521751).

The spelling of 1130123311440 in words is "one trillion, one hundred thirty billion, one hundred twenty-three million, three hundred eleven thousand, four hundred forty".