1140013304040 has 256 divisors, whose sum is σ = 3901032576000. Its totient is φ = 264026456064.

The previous prime is 1140013304033. The next prime is 1140013304051. The reversal of 1140013304040 is 404033100411.

It is a super-3 number, since 3×1140013304040³ (a number of 37 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1140013303998 and 1140013304016.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 123923361 + ... + 123932559.

It is an arithmetic number, because the mean of its divisors is an integer number (15238408500).

Almost surely, 2^{1140013304040} is an apocalyptic number.

1140013304040 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 1140013304040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1950516288000).

1140013304040 is an abundant number, since it is smaller than the sum of its proper divisors (2761019271960).

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

1140013304040 is a wasteful number, since it uses less digits than its factorization.

1140013304040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13916 (or 13912 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 1140013304040 its reverse (404033100411), we get a palindrome (1544046404451).

The spelling of 1140013304040 in words is "one trillion, one hundred forty billion, thirteen million, three hundred four thousand, forty".