8412452640 has 240 divisors, whose sum is σ = 30648119040. Its totient is φ = 2170851840.

The previous prime is 8412452627. The next prime is 8412452641. The reversal of 8412452640 is 462542148.

8412452640 is a `hidden beast` number, since 8 + 4 + 1 + 2 + 4 + 5 + 2 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a junction number, because it is equal to n+sod(n) for n = 8412452595 and 8412452604.

It is not an unprimeable number, because it can be changed into a prime (8412452641) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 391291 + ... + 412229.

It is an arithmetic number, because the mean of its divisors is an integer number (127700496).

Almost surely, 2^8412452640 is an apocalyptic number.

8412452640 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 8412452640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15324059520).

8412452640 is an abundant number, since it is smaller than the sum of its proper divisors (22235666400).

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

8412452640 is a wasteful number, since it uses less digits than its factorization.

8412452640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20997 (or 20980 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 8412452640 is about 91719.4234609006. The cubic root of 8412452640 is about 2033.7967270168.

Adding to 8412452640 its reverse (462542148), we get a palindrome (8874994788).

The spelling of 8412452640 in words is "eight billion, four hundred twelve million, four hundred fifty-two thousand, six hundred forty".