1140131312430 has 128 divisors (see below), whose sum is σ = 3186786571776. Its totient is φ = 260136757760.

The previous prime is 1140131312407. The next prime is 1140131312459. The reversal of 1140131312430 is 342131310411.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 1140131312430.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 160992 + ... + 1518611.

It is an arithmetic number, because the mean of its divisors is an integer number (24896770092).

Almost surely, 2^{1140131312430} is an apocalyptic number.

1140131312430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1140131312430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1593393285888).

1140131312430 is an abundant number, since it is smaller than the sum of its proper divisors (2046655259346).

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

1140131312430 is a wasteful number, since it uses less digits than its factorization.

1140131312430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1679663 (or 1679641 counting only the distinct ones).

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

Adding to 1140131312430 its reverse (342131310411), we get a palindrome (1482262622841).

The spelling of 1140131312430 in words is "one trillion, one hundred forty billion, one hundred thirty-one million, three hundred twelve thousand, four hundred thirty".