7142772417 has 24 divisors (see below), whose sum is σ = 10594362912. Its totient is φ = 4276778880.

The previous prime is 7142772359. The next prime is 7142772421.

7142772417 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 7142772417 - 2¹⁶ = 7142706881 is a prime.

It is not an unprimeable number, because it can be changed into a prime (7142772437) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 88408 + ... + 148665.

It is an arithmetic number, because the mean of its divisors is an integer number (441431788).

Almost surely, 2^7142772417 is an apocalyptic number.

It is an amenable number.

7142772417 is a deficient number, since it is larger than the sum of its proper divisors (3451590495).

7142772417 is a wasteful number, since it uses less digits than its factorization.

7142772417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237181 (or 237170 counting only the distinct ones).

The product of its digits is 153664, while the sum is 42.

The square root of 7142772417 is about 84514.9242264347. The cubic root of 7142772417 is about 1925.8491709303.

The spelling of 7142772417 in words is "seven billion, one hundred forty-two million, seven hundred seventy-two thousand, four hundred seventeen".