440480275466567 has 32 divisors (see below), whose sum is σ = 507749440978944. Its totient is φ = 374301487728000.

The previous prime is 440480275466557. The next prime is 440480275466599. The reversal of 440480275466567 is 765664572084044.

It is not a de Polignac number, because 440480275466567 - 2¹² = 440480275462471 is a prime.

It is a super-2 number, since 2×440480275466567² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 440480275466497 and 440480275466506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (440480275466527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10462444817 + ... + 10462486917.

It is an arithmetic number, because the mean of its divisors is an integer number (15867170030592).

Almost surely, 2^{440480275466567} is an apocalyptic number.

440480275466567 is a deficient number, since it is larger than the sum of its proper divisors (67269165512377).

440480275466567 is a wasteful number, since it uses less digits than its factorization.

440480275466567 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50759.

The product of its (nonzero) digits is 1083801600, while the sum is 68.

The spelling of 440480275466567 in words is "four hundred forty trillion, four hundred eighty billion, two hundred seventy-five million, four hundred sixty-six thousand, five hundred sixty-seven".