812414224440 has 960 divisors, whose sum is σ = 3423272371200. Its totient is φ = 169177641984.

The previous prime is 812414224439. The next prime is 812414224463. The reversal of 812414224440 is 44422414218.

812414224440 is a `hidden beast` number, since 8 + 12 + 414 + 224 + 4 + 4 + 0 = 666.

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 = 812414224395 and 812414224404.

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 239 ways as a sum of consecutive naturals, for example, 302799339 + ... + 302802021.

It is an arithmetic number, because the mean of its divisors is an integer number (3565908720).

Almost surely, 2^812414224440 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 812414224440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1711636185600).

812414224440 is an abundant number, since it is smaller than the sum of its proper divisors (2610858146760).

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

812414224440 is a wasteful number, since it uses less digits than its factorization.

812414224440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2818 (or 2792 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 36.

Adding to 812414224440 its reverse (44422414218), we get a palindrome (856836638658).

The spelling of 812414224440 in words is "eight hundred twelve billion, four hundred fourteen million, two hundred twenty-four thousand, four hundred forty".