8401216320 has 560 divisors, whose sum is σ = 35966156160. Its totient is φ = 1818464256.

The previous prime is 8401216319. The next prime is 8401216331. The reversal of 8401216320 is 236121048.

8401216320 is a `hidden beast` number, since 8 + 4 + 0 + 1 + 21 + 632 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3446142 + ... + 3448578.

Almost surely, 2^8401216320 is an apocalyptic number.

8401216320 is a gapful number since it is divisible by the number (80) 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 8401216320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17983078080).

8401216320 is an abundant number, since it is smaller than the sum of its proper divisors (27564939840).

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

8401216320 is a wasteful number, since it uses less digits than its factorization.

8401216320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2492 (or 2473 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 8401216320 is about 91658.1492285329. The cubic root of 8401216320 is about 2032.8908250227.

Adding to 8401216320 its reverse (236121048), we get a palindrome (8637337368).

The spelling of 8401216320 in words is "eight billion, four hundred one million, two hundred sixteen thousand, three hundred twenty".