440945137369 has 81 divisors (see below), whose sum is σ = 532709440221. Its totient is φ = 364635997440.

The previous prime is 440945137357. The next prime is 440945137387. The reversal of 440945137369 is 963731549044.

The square root of 440945137369 is 664037.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 110481117769 + 330464019600 = 332387^2 + 574860^2 .

It is not a de Polignac number, because 440945137369 - 2¹¹ = 440945135321 is a prime.

It is a super-2 number, since 2×440945137369² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (440945437369) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 6581270674 + ... + 6581270740.

Almost surely, 2^440945137369 is an apocalyptic number.

440945137369 is the 664037-th square number.

440945137369 is the 332019-th centered octagonal number.

It is an amenable number.

440945137369 is a deficient number, since it is larger than the sum of its proper divisors (91764302852).

440945137369 is an equidigital number, since it uses as much as digits as its factorization.

440945137369 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 55.

The spelling of 440945137369 in words is "four hundred forty billion, nine hundred forty-five million, one hundred thirty-seven thousand, three hundred sixty-nine".