4213516320 has 480 divisors, whose sum is σ = 16251626160. Its totient is φ = 1021870080.

The previous prime is 4213516309. The next prime is 4213516327. The reversal of 4213516320 is 236153124.

4213516320 is a `hidden beast` number, since 4 + 21 + 3 + 5 + 1 + 632 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 774397584 + 3439118736 = 27828^2 + 58644^2 .

It is a tau number, because it is divible by the number of its divisors (480).

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

It is not an unprimeable number, because it can be changed into a prime (4213516327) by changing a digit.

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, 14994580 + ... + 14994860.

Almost surely, 2^4213516320 is an apocalyptic number.

4213516320 is a gapful number since it is divisible by the number (40) 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 4213516320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8125813080).

4213516320 is an abundant number, since it is smaller than the sum of its proper divisors (12038109840).

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

4213516320 is a wasteful number, since it uses less digits than its factorization.

4213516320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 4213516320 is about 64911.6038932948. The cubic root of 4213516320 is about 1615.1575560294.

Adding to 4213516320 its reverse (236153124), we get a palindrome (4449669444).

The spelling of 4213516320 in words is "four billion, two hundred thirteen million, five hundred sixteen thousand, three hundred twenty".