1141303031344 has 320 divisors, whose sum is σ = 2824250664960. Its totient is φ = 435316654080.

The previous prime is 1141303031339. The next prime is 1141303031353. The reversal of 1141303031344 is 4431303031411.

It is a Harshad number since it is a multiple of its sum of digits (28).

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, 2005804692 + ... + 2005805260.

It is an arithmetic number, because the mean of its divisors is an integer number (8825783328).

Almost surely, 2^{1141303031344} is an apocalyptic number.

1141303031344 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 1141303031344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1412125332480).

1141303031344 is an abundant number, since it is smaller than the sum of its proper divisors (1682947633616).

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

1141303031344 is a wasteful number, since it uses less digits than its factorization.

1141303031344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1068 (or 1062 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

Adding to 1141303031344 its reverse (4431303031411), we get a palindrome (5572606062755).

The spelling of 1141303031344 in words is "one trillion, one hundred forty-one billion, three hundred three million, thirty-one thousand, three hundred forty-four".