4405613116716 has 216 divisors, whose sum is σ = 14231617370880. Its totient is φ = 1122349561344.

The previous prime is 4405613116703. The next prime is 4405613116721. The reversal of 4405613116716 is 6176113165044.

4405613116716 is a `hidden beast` number, since 4 + 4 + 0 + 5 + 613 + 1 + 16 + 7 + 16 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 208200 + ... + 2975663.

Almost surely, 2^{4405613116716} 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 4405613116716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7115808685440).

4405613116716 is an abundant number, since it is smaller than the sum of its proper divisors (9826004254164).

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

4405613116716 is a wasteful number, since it uses less digits than its factorization.

4405613116716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3183933 (or 3183911 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 4405613116716 in words is "four trillion, four hundred five billion, six hundred thirteen million, one hundred sixteen thousand, seven hundred sixteen".