440114222411044 has 48 divisors (see below), whose sum is σ = 827004927294000. Its totient is φ = 204205337870336.

The previous prime is 440114222411041. The next prime is 440114222411069.

440114222411044 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 8 ways, for example, as 12214465806400 + 427899756604644 = 3494920^2 + 20685738^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (440114222411041) 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 15 ways as a sum of consecutive naturals, for example, 100869469 + ... + 105142180.

It is an arithmetic number, because the mean of its divisors is an integer number (17229269318625).

Almost surely, 2^{440114222411044} is an apocalyptic number.

It is an amenable number.

440114222411044 is a deficient number, since it is larger than the sum of its proper divisors (386890704882956).

440114222411044 is a wasteful number, since it uses less digits than its factorization.

440114222411044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206012112 (or 206012110 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 34.

The spelling of 440114222411044 in words is "four hundred forty trillion, one hundred fourteen billion, two hundred twenty-two million, four hundred eleven thousand, forty-four".