536406434441 has 32 divisors (see below), whose sum is σ = 577361584800. Its totient is φ = 496574115840.

The previous prime is 536406434411. The next prime is 536406434491. The reversal of 536406434441 is 144434604635.

It can be written as a sum of positive squares in 16 ways, for example, as 348921764416 + 187484670025 = 590696^2 + 432995^2 .

It is a cyclic number.

It is not a de Polignac number, because 536406434441 - 2³⁰ = 535332692617 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 536406434392 and 536406434401.

It is not an unprimeable number, because it can be changed into a prime (536406434411) 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, 259257755 + ... + 259259823.

It is an arithmetic number, because the mean of its divisors is an integer number (18042549525).

Almost surely, 2^536406434441 is an apocalyptic number.

It is an amenable number.

536406434441 is a deficient number, since it is larger than the sum of its proper divisors (40955150359).

536406434441 is a wasteful number, since it uses less digits than its factorization.

536406434441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3149.

The product of its (nonzero) digits is 1658880, while the sum is 44.

The spelling of 536406434441 in words is "five hundred thirty-six billion, four hundred six million, four hundred thirty-four thousand, four hundred forty-one".