16410496804416 has 672 divisors, whose sum is σ = 55996272259200. Its totient is φ = 4529495900160.

The previous prime is 16410496804409. The next prime is 16410496804441. The reversal of 16410496804416 is 61440869401461.

It is a happy number.

16410496804416 is a `hidden beast` number, since 1 + 6 + 4 + 104 + 96 + 8 + 0 + 441 + 6 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4083226855 + ... + 4083230873.

It is an arithmetic number, because the mean of its divisors is an integer number (83327786100).

Almost surely, 2^{16410496804416} is an apocalyptic number.

16410496804416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16410496804416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27998136129600).

16410496804416 is an abundant number, since it is smaller than the sum of its proper divisors (39585775454784).

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

16410496804416 is a wasteful number, since it uses less digits than its factorization.

16410496804416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4707 (or 4694 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 16410496804416 in words is "sixteen trillion, four hundred ten billion, four hundred ninety-six million, eight hundred four thousand, four hundred sixteen".