440856160900 has 81 divisors (see below), whose sum is σ = 972130414437. Its totient is φ = 173535199200.

The previous prime is 440856160897. The next prime is 440856160957. The reversal of 440856160900 is 9061658044.

The square root of 440856160900 is 663970.

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

It can be written as a sum of positive squares in only one way, i.e., 158708217924 + 282147942976 = 398382^2 + 531176^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 444859405 + ... + 444860395.

Almost surely, 2^440856160900 is an apocalyptic number.

440856160900 is the 663970-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 440856160900

440856160900 is an abundant number, since it is smaller than the sum of its proper divisors (531274253537).

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

440856160900 is an frugal number, since it uses more digits than its factorization.

440856160900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2130 (or 1065 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 43.

The spelling of 440856160900 in words is "four hundred forty billion, eight hundred fifty-six million, one hundred sixty thousand, nine hundred".