242040007761 has 16 divisors (see below), whose sum is σ = 326384110080. Its totient is φ = 159528378240.

The previous prime is 242040007751. The next prime is 242040007771. The reversal of 242040007761 is 167700040242.

242040007761 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (242040007751) and next prime (242040007771).

It is not a de Polignac number, because 242040007761 - 2³⁴ = 224860138577 is a prime.

It is not an unprimeable number, because it can be changed into a prime (242040007711) 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 15 ways as a sum of consecutive naturals, for example, 2467296 + ... + 2563518.

It is an arithmetic number, because the mean of its divisors is an integer number (20399006880).

Almost surely, 2^242040007761 is an apocalyptic number.

It is an amenable number.

242040007761 is a deficient number, since it is larger than the sum of its proper divisors (84344102319).

242040007761 is an equidigital number, since it uses as much as digits as its factorization.

242040007761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105736.

The product of its (nonzero) digits is 18816, while the sum is 33.

The spelling of 242040007761 in words is "two hundred forty-two billion, forty million, seven thousand, seven hundred sixty-one".