409830161272 has 128 divisors (see below), whose sum is σ = 988151270400. Its totient is φ = 155280153600.

The previous prime is 409830161267. The next prime is 409830161311. The reversal of 409830161272 is 272161038904.

It is a super-2 number, since 2×409830161272² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 799122 + ... + 1207582.

It is an arithmetic number, because the mean of its divisors is an integer number (7719931800).

Almost surely, 2^409830161272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 409830161272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494075635200).

409830161272 is an abundant number, since it is smaller than the sum of its proper divisors (578321109128).

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

409830161272 is a wasteful number, since it uses less digits than its factorization.

409830161272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408557 (or 408553 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 43.

The spelling of 409830161272 in words is "four hundred nine billion, eight hundred thirty million, one hundred sixty-one thousand, two hundred seventy-two".