10642344141 has 32 divisors (see below), whose sum is σ = 16905369600. Its totient is φ = 5869886400.

The previous prime is 10642344137. The next prime is 10642344149. The reversal of 10642344141 is 14144324601.

10642344141 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10642344141 - 2² = 10642344137 is a prime.

It is a super-3 number, since 3×10642344141³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10642344099 and 10642344108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10642344149) 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 31 ways as a sum of consecutive naturals, for example, 144241 + ... + 205158.

It is an arithmetic number, because the mean of its divisors is an integer number (528292800).

Almost surely, 2^10642344141 is an apocalyptic number.

10642344141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10642344141 is a deficient number, since it is larger than the sum of its proper divisors (6263025459).

10642344141 is a wasteful number, since it uses less digits than its factorization.

10642344141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349497.

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 10642344141 its reverse (14144324601), we get a palindrome (24786668742).

The spelling of 10642344141 in words is "ten billion, six hundred forty-two million, three hundred forty-four thousand, one hundred forty-one".