440120166600465 has 24 divisors (see below), whose sum is σ = 821557644321960. Its totient is φ = 216674543556864.

The previous prime is 440120166600403. The next prime is 440120166600469. The reversal of 440120166600465 is 564006661021044.

It can be written as a sum of positive squares in 4 ways, for example, as 80723540298384 + 359396626302081 = 8984628^2 + 18957759^2 .

It is not a de Polignac number, because 440120166600465 - 2²⁰ = 440120165551889 is a prime.

It is a super-2 number, since 2×440120166600465² (a number of 30 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 440120166600465.

It is not an unprimeable number, because it can be changed into a prime (440120166600469) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 376171081980 + ... + 376171083149.

It is an arithmetic number, because the mean of its divisors is an integer number (34231568513415).

Almost surely, 2^{440120166600465} is an apocalyptic number.

440120166600465 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

440120166600465 is a deficient number, since it is larger than the sum of its proper divisors (381437477721495).

440120166600465 is a wasteful number, since it uses less digits than its factorization.

440120166600465 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 752342165153 (or 752342165150 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 440120166600465 in words is "four hundred forty trillion, one hundred twenty billion, one hundred sixty-six million, six hundred thousand, four hundred sixty-five".