440381105775 has 144 divisors (see below), whose sum is σ = 894065803904. Its totient is φ = 213564574080.

The previous prime is 440381105771. The next prime is 440381105789. The reversal of 440381105775 is 577501183044.

440381105775 is a `hidden beast` number, since 4 + 40 + 38 + 1 + 1 + 0 + 577 + 5 = 666.

It is not a de Polignac number, because 440381105775 - 2² = 440381105771 is a prime.

It is a super-2 number, since 2×440381105775² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 440381105775.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (440381105771) 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 143 ways as a sum of consecutive naturals, for example, 5249712 + ... + 5332938.

Almost surely, 2^440381105775 is an apocalyptic number.

440381105775 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

440381105775 is an abundant number, since it is smaller than the sum of its proper divisors (453684698129).

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

440381105775 is a wasteful number, since it uses less digits than its factorization.

440381105775 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83332 (or 83315 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

The spelling of 440381105775 in words is "four hundred forty billion, three hundred eighty-one million, one hundred five thousand, seven hundred seventy-five".