8016424416 has 1152 divisors, whose sum is σ = 34000404480. Its totient is φ = 1779148800.

The previous prime is 8016424399. The next prime is 8016424457. The reversal of 8016424416 is 6144246108.

It is a happy number.

8016424416 is a `hidden beast` number, since 8 + 0 + 1 + 642 + 4 + 4 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 258594321 + ... + 258594351.

It is an arithmetic number, because the mean of its divisors is an integer number (29514240).

Almost surely, 2^8016424416 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 8016424416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17000202240).

8016424416 is an abundant number, since it is smaller than the sum of its proper divisors (25983980064).

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

8016424416 is a wasteful number, since it uses less digits than its factorization.

8016424416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 8016424416 is about 89534.4872995875. The cubic root of 8016424416 is about 2001.3677657286.

The spelling of 8016424416 in words is "eight billion, sixteen million, four hundred twenty-four thousand, four hundred sixteen".