409315286016 has 1320 divisors, whose sum is σ = 1568583937536. Its totient is φ = 105345515520.

The previous prime is 409315285999. The next prime is 409315286027. The reversal of 409315286016 is 610682513904.

409315286016 is a `hidden beast` number, since 4 + 0 + 9 + 3 + 15 + 28 + 601 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3222954945 + ... + 3222955071.

Almost surely, 2^409315286016 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 409315286016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (784291968768).

409315286016 is an abundant number, since it is smaller than the sum of its proper divisors (1159268651520).

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

409315286016 is a wasteful number, since it uses less digits than its factorization.

409315286016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 409315286016 in words is "four hundred nine billion, three hundred fifteen million, two hundred eighty-six thousand, sixteen".