409861161616 has 45 divisors (see below), whose sum is σ = 822582251881. Its totient is φ = 197828157632.

The previous prime is 409861161559. The next prime is 409861161617. The reversal of 409861161616 is 616161168904.

The square root of 409861161616 is 640204.

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

It can be written as a sum of positive squares in only one way, i.e., 214921251216 + 194939910400 = 463596^2 + 441520^2 .

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 409861161616.

It is not an unprimeable number, because it can be changed into a prime (409861161617) 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 8 ways as a sum of consecutive naturals, for example, 74260905 + ... + 74266423.

Almost surely, 2^409861161616 is an apocalyptic number.

409861161616 is the 640204-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 409861161616

409861161616 is an abundant number, since it is smaller than the sum of its proper divisors (412721090265).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

409861161616 is an frugal number, since it uses more digits than its factorization.

409861161616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11104 (or 5550 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 49.

Multiplying 409861161616 by its sum of digits (49), we get a square (20083196919184 = 4481428²).

The spelling of 409861161616 in words is "four hundred nine billion, eight hundred sixty-one million, one hundred sixty-one thousand, six hundred sixteen".