7142474742417 has 32 divisors (see below), whose sum is σ = 12350378496000. Its totient is φ = 3994575534864.

The previous prime is 7142474742409. The next prime is 7142474742433.

7142474742417 is a `hidden beast` number, since 7 + 142 + 4 + 7 + 47 + 42 + 417 = 666.

7142474742417 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 7142474742417 - 2³ = 7142474742409 is a prime.

It is not an unprimeable number, because it can be changed into a prime (7142474742817) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 402021667 + ... + 402039432.

It is an arithmetic number, because the mean of its divisors is an integer number (385949328000).

Almost surely, 2^{7142474742417} is an apocalyptic number.

It is an amenable number.

7142474742417 is a deficient number, since it is larger than the sum of its proper divisors (5207903753583).

7142474742417 is a wasteful number, since it uses less digits than its factorization.

7142474742417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 804061162 (or 804061156 counting only the distinct ones).

The product of its digits is 9834496, while the sum is 54.

The spelling of 7142474742417 in words is "seven trillion, one hundred forty-two billion, four hundred seventy-four million, seven hundred forty-two thousand, four hundred seventeen".