1140511505320 has 192 divisors, whose sum is σ = 2961006451200. Its totient is φ = 394547366400.

The previous prime is 1140511505311. The next prime is 1140511505437. The reversal of 1140511505320 is 235051150411.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8787942 + ... + 8916778.

It is an arithmetic number, because the mean of its divisors is an integer number (15421908600).

Almost surely, 2^{1140511505320} is an apocalyptic number.

1140511505320 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 1140511505320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1480503225600).

1140511505320 is an abundant number, since it is smaller than the sum of its proper divisors (1820494945880).

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

1140511505320 is a wasteful number, since it uses less digits than its factorization.

1140511505320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128960 (or 128945 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 28.

Adding to 1140511505320 its reverse (235051150411), we get a palindrome (1375562655731).

The spelling of 1140511505320 in words is "one trillion, one hundred forty billion, five hundred eleven million, five hundred five thousand, three hundred twenty".