440065953216 has 224 divisors, whose sum is σ = 1313614848000. Its totient is φ = 144442082304.

The previous prime is 440065953203. The next prime is 440065953227. The reversal of 440065953216 is 612359560044.

440065953216 is a `hidden beast` number, since 4 + 40 + 0 + 6 + 595 + 3 + 2 + 16 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53099025 + ... + 53107311.

It is an arithmetic number, because the mean of its divisors is an integer number (5864352000).

Almost surely, 2^440065953216 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 440065953216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (656807424000).

440065953216 is an abundant number, since it is smaller than the sum of its proper divisors (873548894784).

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

440065953216 is a wasteful number, since it uses less digits than its factorization.

440065953216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8776 (or 8760 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 440065953216 in words is "four hundred forty billion, sixty-five million, nine hundred fifty-three thousand, two hundred sixteen".