1140004130000 has 50 divisors (see below), whose sum is σ = 2760064023354. Its totient is φ = 456001648000.

The previous prime is 1140004129997. The next prime is 1140004130003. The reversal of 1140004130000 is 314000411.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1140004129997) and next prime (1140004130003).

It can be written as a sum of positive squares in 5 ways, for example, as 867148339264 + 272855790736 = 931208^2 + 522356^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1140004130003) by changing a digit.

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 9 ways as a sum of consecutive naturals, for example, 56990207 + ... + 57010206.

Almost surely, 2^{1140004130000} is an apocalyptic number.

1140004130000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1140004130000 is an abundant number, since it is smaller than the sum of its proper divisors (1620059893354).

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

1140004130000 is an equidigital number, since it uses as much as digits as its factorization.

1140004130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114000441 (or 114000420 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 1140004130000 its reverse (314000411), we get a palindrome (1140318130411).

The spelling of 1140004130000 in words is "one trillion, one hundred forty billion, four million, one hundred thirty thousand".