7142336332417 has 64 divisors (see below), whose sum is σ = 9046419701760. Its totient is φ = 5543040729600.

The previous prime is 7142336332381. The next prime is 7142336332459.

7142336332417 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2^k-7142336332417 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (7142336332717) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 115080688 + ... + 115142734.

It is an arithmetic number, because the mean of its divisors is an integer number (141350307840).

Almost surely, 2^{7142336332417} is an apocalyptic number.

It is an amenable number.

7142336332417 is a deficient number, since it is larger than the sum of its proper divisors (1904083369343).

7142336332417 is a wasteful number, since it uses less digits than its factorization.

7142336332417 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63254.

The product of its digits is 1524096, while the sum is 46.

The spelling of 7142336332417 in words is "seven trillion, one hundred forty-two billion, three hundred thirty-six million, three hundred thirty-two thousand, four hundred seventeen".