440246204226216 has 192 divisors, whose sum is σ = 1246080889497600. Its totient is φ = 140284211848704.

The previous prime is 440246204226193. The next prime is 440246204226221. The reversal of 440246204226216 is 612622402642044.

It is a happy number.

440246204226216 is a `hidden beast` number, since 4 + 4 + 0 + 2 + 4 + 6 + 2 + 0 + 422 + 6 + 216 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 65140890 + ... + 71580918.

It is an arithmetic number, because the mean of its divisors is an integer number (6490004632800).

Almost surely, 2^{440246204226216} 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 440246204226216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (623040444748800).

440246204226216 is an abundant number, since it is smaller than the sum of its proper divisors (805834685271384).

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

440246204226216 is a wasteful number, since it uses less digits than its factorization.

440246204226216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6440528 (or 6440521 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 45.

The spelling of 440246204226216 in words is "four hundred forty trillion, two hundred forty-six billion, two hundred four million, two hundred twenty-six thousand, two hundred sixteen".