1642422242461 has 144 divisors (see below), whose sum is σ = 2368811136384. Its totient is φ = 1107833760000.

The previous prime is 1642422242459. The next prime is 1642422242477.

1642422242461 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1642422242461 - 2¹ = 1642422242459 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1642422242761) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 401470026 + ... + 401474116.

It is an arithmetic number, because the mean of its divisors is an integer number (16450077336).

Almost surely, 2^{1642422242461} is an apocalyptic number.

1642422242461 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1642422242461 is a deficient number, since it is larger than the sum of its proper divisors (726388893923).

1642422242461 is a wasteful number, since it uses less digits than its factorization.

1642422242461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4272 (or 4242 counting only the distinct ones).

The product of its digits is 294912, while the sum is 40.

The spelling of 1642422242461 in words is "one trillion, six hundred forty-two billion, four hundred twenty-two million, two hundred forty-two thousand, four hundred sixty-one".