1140656040225 has 81 divisors (see below), whose sum is σ = 2212691763243. Its totient is φ = 561451213440.

The previous prime is 1140656040191. The next prime is 1140656040239. The reversal of 1140656040225 is 5220406560411.

The square root of 1140656040225 is 1068015.

It is a perfect power (a square), and thus also a powerful number.

1140656040225 is a `hidden beast` number, since 1 + 1 + 40 + 6 + 5 + 604 + 0 + 2 + 2 + 5 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 321363138321 + 819292901904 = 566889^2 + 905148^2 .

It is not a de Polignac number, because 1140656040225 - 2²³ = 1140647651617 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1140656040225.

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 80 ways as a sum of consecutive naturals, for example, 208260187 + ... + 208265663.

Almost surely, 2^{1140656040225} is an apocalyptic number.

1140656040225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1140656040225 is the 1068015-th square number.

1140656040225 is the 534008-th centered octagonal number.

It is an amenable number.

1140656040225 is a deficient number, since it is larger than the sum of its proper divisors (1072035723018).

1140656040225 is an frugal number, since it uses more digits than its factorization.

1140656040225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10996 (or 5498 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Multiplying 1140656040225 by its sum of digits (36), we get a square (41063617448100 = 6408090²).

The spelling of 1140656040225 in words is "one trillion, one hundred forty billion, six hundred fifty-six million, forty thousand, two hundred twenty-five".