440799001344 has 216 divisors, whose sum is σ = 1412850671232. Its totient is φ = 131255009280.

The previous prime is 440799001339. The next prime is 440799001361. The reversal of 440799001344 is 443100997044.

440799001344 is a `hidden beast` number, since 440 + 79 + 9 + 0 + 0 + 134 + 4 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 440799001344.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 691144 + ... + 1165880.

Almost surely, 2^440799001344 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 440799001344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (706425335616).

440799001344 is an abundant number, since it is smaller than the sum of its proper divisors (972051669888).

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

440799001344 is a wasteful number, since it uses less digits than its factorization.

440799001344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474803 (or 474786 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

Adding to 440799001344 its reverse (443100997044), we get a palindrome (883899998388).

The spelling of 440799001344 in words is "four hundred forty billion, seven hundred ninety-nine million, one thousand, three hundred forty-four".