409130231380416 has 672 divisors, whose sum is σ = 1595396401865280. Its totient is φ = 101555269337088.

The previous prime is 409130231380411. The next prime is 409130231380427. The reversal of 409130231380416 is 614083132031904.

409130231380416 is a `hidden beast` number, since 4 + 0 + 9 + 1 + 30 + 231 + 380 + 4 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (409130231380411) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7780516 + ... + 29644508.

It is an arithmetic number, because the mean of its divisors is an integer number (2374101788490).

Almost surely, 2^{409130231380416} 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 409130231380416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (797698200932640).

409130231380416 is an abundant number, since it is smaller than the sum of its proper divisors (1186266170484864).

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

409130231380416 is a wasteful number, since it uses less digits than its factorization.

409130231380416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21864058 (or 21864035 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 409130231380416 in words is "four hundred nine trillion, one hundred thirty billion, two hundred thirty-one million, three hundred eighty thousand, four hundred sixteen".