444434164263440 has 40 divisors (see below), whose sum is σ = 1112794772831448. Its totient is φ = 164098768343040.

The previous prime is 444434164263409. The next prime is 444434164263443. The reversal of 444434164263440 is 44362461434444.

It can be written as a sum of positive squares in 4 ways, for example, as 790598392336 + 443643565871104 = 889156^2 + 21062848^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (444434164263443) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 213670270241 + ... + 213670272320.

Almost surely, 2^{444434164263440} is an apocalyptic number.

444434164263440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

444434164263440 is an abundant number, since it is smaller than the sum of its proper divisors (668360608568008).

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

444434164263440 is a wasteful number, since it uses less digits than its factorization.

444434164263440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427340542587 (or 427340542581 counting only the distinct ones).

The product of its (nonzero) digits is 42467328, while the sum is 53.

The spelling of 444434164263440 in words is "four hundred forty-four trillion, four hundred thirty-four billion, one hundred sixty-four million, two hundred sixty-three thousand, four hundred forty".