409911316416 has 560 divisors, whose sum is σ = 1426596551424. Its totient is φ = 113943158784.

The previous prime is 409911316357. The next prime is 409911316417. The reversal of 409911316416 is 614613119904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (409911316417) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 691249816 + ... + 691250408.

Almost surely, 2^409911316416 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 409911316416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (713298275712).

409911316416 is an abundant number, since it is smaller than the sum of its proper divisors (1016685235008).

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

409911316416 is a wasteful number, since it uses less digits than its factorization.

409911316416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1110 (or 1091 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The spelling of 409911316416 in words is "four hundred nine billion, nine hundred eleven million, three hundred sixteen thousand, four hundred sixteen".