8412718444416 has 3072 divisors, whose sum is σ = 33448989450240. Its totient is φ = 2063912140800.

The previous prime is 8412718444387. The next prime is 8412718444421. The reversal of 8412718444416 is 6144448172148.

8412718444416 is a `hidden beast` number, since 8 + 4 + 1 + 2 + 7 + 184 + 44 + 416 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 86729056080 + ... + 86729056176.

It is an arithmetic number, because the mean of its divisors is an integer number (10888342920).

Almost surely, 2^{8412718444416} 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 8412718444416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16724494725120).

8412718444416 is an abundant number, since it is smaller than the sum of its proper divisors (25036271005824).

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

8412718444416 is a wasteful number, since it uses less digits than its factorization.

8412718444416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 211 counting only the distinct ones).

The product of its digits is 5505024, while the sum is 54.

The spelling of 8412718444416 in words is "eight trillion, four hundred twelve billion, seven hundred eighteen million, four hundred forty-four thousand, four hundred sixteen".