1140511505319 has 12 divisors (see below), whose sum is σ = 1719031834416. Its totient is φ = 727282698912.

The previous prime is 1140511505311. The next prime is 1140511505437. The reversal of 1140511505319 is 9135051150411.

1140511505319 is a `hidden beast` number, since 1 + 1 + 4 + 0 + 5 + 115 + 0 + 531 + 9 = 666.

It is not a de Polignac number, because 1140511505319 - 2³ = 1140511505311 is a prime.

It is a super-2 number, since 2×1140511505319² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1140511505311) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2754858502 + ... + 2754858915.

It is an arithmetic number, because the mean of its divisors is an integer number (143252652868).

Almost surely, 2^{1140511505319} is an apocalyptic number.

1140511505319 is a deficient number, since it is larger than the sum of its proper divisors (578520329097).

1140511505319 is a wasteful number, since it uses less digits than its factorization.

1140511505319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5509717446 (or 5509717443 counting only the distinct ones).

The product of its (nonzero) digits is 13500, while the sum is 36.

The spelling of 1140511505319 in words is "one trillion, one hundred forty billion, five hundred eleven million, five hundred five thousand, three hundred nineteen".