10125442405441 has 16 divisors (see below), whose sum is σ = 11644477191360. Its totient is φ = 8707595532480.

The previous prime is 10125442405369. The next prime is 10125442405447. The reversal of 10125442405441 is 14450424452101.

It is a cyclic number.

It is not a de Polignac number, because 10125442405441 - 2¹⁷ = 10125442274369 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10125442405441.

It is not an unprimeable number, because it can be changed into a prime (10125442405447) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 35639226 + ... + 35922211.

It is an arithmetic number, because the mean of its divisors is an integer number (727779824460).

Almost surely, 2^{10125442405441} is an apocalyptic number.

10125442405441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10125442405441 is a deficient number, since it is larger than the sum of its proper divisors (1519034785919).

10125442405441 is a wasteful number, since it uses less digits than its factorization.

10125442405441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71562144.

The product of its (nonzero) digits is 102400, while the sum is 37.

Adding to 10125442405441 its reverse (14450424452101), we get a palindrome (24575866857542).

The spelling of 10125442405441 in words is "ten trillion, one hundred twenty-five billion, four hundred forty-two million, four hundred five thousand, four hundred forty-one".