1140080605425 has 216 divisors, whose sum is σ = 2338281199800. Its totient is φ = 528491335680.

The previous prime is 1140080605421. The next prime is 1140080605439. The reversal of 1140080605425 is 5245060800411.

It is a happy number.

1140080605425 is a `hidden beast` number, since 1 + 1 + 4 + 0 + 0 + 8 + 0 + 605 + 42 + 5 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 509123633841 + 630956971584 = 713529^2 + 794328^2 .

It is not a de Polignac number, because 1140080605425 - 2² = 1140080605421 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1140080605425.

It is not an unprimeable number, because it can be changed into a prime (1140080605421) by changing a digit.

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 215 ways as a sum of consecutive naturals, for example, 58669611 + ... + 58689039.

It is an arithmetic number, because the mean of its divisors is an integer number (10825375925).

Almost surely, 2^{1140080605425} is an apocalyptic number.

1140080605425 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1140080605425 is an abundant number, since it is smaller than the sum of its proper divisors (1198200594375).

1140080605425 is a wasteful number, since it uses less digits than its factorization.

1140080605425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19537 (or 19506 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 1140080605425 in words is "one trillion, one hundred forty billion, eighty million, six hundred five thousand, four hundred twenty-five".