10035542214405 has 48 divisors (see below), whose sum is σ = 17442954912240. Its totient is φ = 5337521823744.

The previous prime is 10035542214389. The next prime is 10035542214433. The reversal of 10035542214405 is 50441224553001.

10035542214405 is a `hidden beast` number, since 1 + 0 + 0 + 35 + 5 + 4 + 2 + 214 + 405 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2580774777441 + 7454767436964 = 1606479^2 + 2730342^2 .

It is not a de Polignac number, because 10035542214405 - 2⁴ = 10035542214389 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10035542214405.

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 47 ways as a sum of consecutive naturals, for example, 76557499 + ... + 76688471.

It is an arithmetic number, because the mean of its divisors is an integer number (363394894005).

Almost surely, 2^{10035542214405} is an apocalyptic number.

10035542214405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10035542214405 is a deficient number, since it is larger than the sum of its proper divisors (7407412697835).

10035542214405 is a wasteful number, since it uses less digits than its factorization.

10035542214405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135670 (or 135667 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

Adding to 10035542214405 its reverse (50441224553001), we get a palindrome (60476766767406).

The spelling of 10035542214405 in words is "ten trillion, thirty-five billion, five hundred forty-two million, two hundred fourteen thousand, four hundred five".