10005141441126 has 16 divisors (see below), whose sum is σ = 21549535411824. Its totient is φ = 3078505058784.

The previous prime is 10005141441083. The next prime is 10005141441137. The reversal of 10005141441126 is 62114414150001.

It is a junction number, because it is equal to n+sod(n) for n = 10005141441093 and 10005141441102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 64135521981 + ... + 64135522136.

It is an arithmetic number, because the mean of its divisors is an integer number (1346845963239).

Almost surely, 2^{10005141441126} is an apocalyptic number.

10005141441126 is an abundant number, since it is smaller than the sum of its proper divisors (11544393970698).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10005141441126 is a wasteful number, since it uses less digits than its factorization.

10005141441126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128271044135.

The product of its (nonzero) digits is 3840, while the sum is 30.

Adding to 10005141441126 its reverse (62114414150001), we get a palindrome (72119555591127).

The spelling of 10005141441126 in words is "ten trillion, five billion, one hundred forty-one million, four hundred forty-one thousand, one hundred twenty-six".