1140040331040 has 384 divisors, whose sum is σ = 3915905236992. Its totient is φ = 277124198400.

The previous prime is 1140040331039. The next prime is 1140040331047. The reversal of 1140040331040 is 401330400411.

It is a junction number, because it is equal to n+sod(n) for n = 1140040330998 and 1140040331016.

It is not an unprimeable number, because it can be changed into a prime (1140040331047) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 176719815 + ... + 176726265.

It is an arithmetic number, because the mean of its divisors is an integer number (10197669888).

Almost surely, 2^{1140040331040} is an apocalyptic number.

1140040331040 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 1140040331040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1957952618496).

1140040331040 is an abundant number, since it is smaller than the sum of its proper divisors (2775864905952).

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

1140040331040 is a wasteful number, since it uses less digits than its factorization.

1140040331040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6832 (or 6824 counting only the distinct ones).

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

Adding to 1140040331040 its reverse (401330400411), we get a palindrome (1541370731451).

The spelling of 1140040331040 in words is "one trillion, one hundred forty billion, forty million, three hundred thirty-one thousand, forty".