1742392080009 has 81 divisors (see below), whose sum is σ = 2951215017933. Its totient is φ = 987716795184.

The previous prime is 1742392080007. The next prime is 1742392080059. The reversal of 1742392080009 is 9000802932471.

The square root of 1742392080009 is 1319997.

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

1742392080009 is a `hidden beast` number, since 17 + 423 + 9 + 208 + 0 + 0 + 0 + 9 = 666.

It is not a de Polignac number, because 1742392080009 - 2¹ = 1742392080007 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1742392080001) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 6625064812 + ... + 6625065074.

Almost surely, 2^{1742392080009} is an apocalyptic number.

1742392080009 is the 1319997-th square number.

1742392080009 is the 659999-th centered octagonal number.

It is an amenable number.

1742392080009 is a deficient number, since it is larger than the sum of its proper divisors (1208822937924).

1742392080009 is an frugal number, since it uses more digits than its factorization.

1742392080009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1024 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 1742392080009 in words is "one trillion, seven hundred forty-two billion, three hundred ninety-two million, eighty thousand, nine".