1142311331040 has 192 divisors, whose sum is σ = 3927150646272. Its totient is φ = 276800256000.

The previous prime is 1142311331039. The next prime is 1142311331047. The reversal of 1142311331040 is 401331132411.

It is a happy number.

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 1142311331040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1142311331047) 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, 12059865 + ... + 12154215.

It is an arithmetic number, because the mean of its divisors is an integer number (20453909616).

Almost surely, 2^{1142311331040} is an apocalyptic number.

1142311331040 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 1142311331040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1963575323136).

1142311331040 is an abundant number, since it is smaller than the sum of its proper divisors (2784839315232).

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

1142311331040 is a wasteful number, since it uses less digits than its factorization.

1142311331040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96673 (or 96665 counting only the distinct ones).

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

Adding to 1142311331040 its reverse (401331132411), we get a palindrome (1543642463451).

The spelling of 1142311331040 in words is "one trillion, one hundred forty-two billion, three hundred eleven million, three hundred thirty-one thousand, forty".