10405536412203 has 64 divisors (see below), whose sum is σ = 15920400384000. Its totient is φ = 6713592647040.

The previous prime is 10405536412129. The next prime is 10405536412307. The reversal of 10405536412203 is 30221463550401.

10405536412203 is a `hidden beast` number, since 1 + 0 + 4 + 0 + 5 + 5 + 3 + 641 + 2 + 2 + 0 + 3 = 666.

It is not a de Polignac number, because 10405536412203 - 2¹⁸ = 10405536150059 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10405536412603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 42041673 + ... + 42288453.

It is an arithmetic number, because the mean of its divisors is an integer number (248756256000).

Almost surely, 2^{10405536412203} is an apocalyptic number.

10405536412203 is a deficient number, since it is larger than the sum of its proper divisors (5514863971797).

10405536412203 is a wasteful number, since it uses less digits than its factorization.

10405536412203 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247209 (or 247203 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 10405536412203 its reverse (30221463550401), we get a palindrome (40626999962604).

The spelling of 10405536412203 in words is "ten trillion, four hundred five billion, five hundred thirty-six million, four hundred twelve thousand, two hundred three".