409870124521 has 63 divisors (see below), whose sum is σ = 501757601877. Its totient is φ = 334651093920.

The previous prime is 409870124519. The next prime is 409870124527. The reversal of 409870124521 is 125421078904.

The square root of 409870124521 is 640211.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1702470121 + 408167654400 = 41261^2 + 638880^2 .

It is not a de Polignac number, because 409870124521 - 2¹ = 409870124519 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (409870124527) 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 62 ways as a sum of consecutive naturals, for example, 11077570915 + ... + 11077570951.

It is an arithmetic number, because the mean of its divisors is an integer number (7964406379).

Almost surely, 2^409870124521 is an apocalyptic number.

409870124521 is the 640211-st square number.

409870124521 is the 320106-th centered octagonal number.

It is an amenable number.

409870124521 is a deficient number, since it is larger than the sum of its proper divisors (91887477356).

409870124521 is an frugal number, since it uses more digits than its factorization.

409870124521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 43.

The spelling of 409870124521 in words is "four hundred nine billion, eight hundred seventy million, one hundred twenty-four thousand, five hundred twenty-one".