440561664048 has 120 divisors (see below), whose sum is σ = 1266062341824. Its totient is φ = 131894913920.

The previous prime is 440561664029. The next prime is 440561664181. The reversal of 440561664048 is 840466165044.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 440561663988 and 440561664006.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25111 + ... + 939017.

Almost surely, 2^440561664048 is an apocalyptic number.

440561664048 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 440561664048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (633031170912).

440561664048 is an abundant number, since it is smaller than the sum of its proper divisors (825500677776).

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

440561664048 is a wasteful number, since it uses less digits than its factorization.

440561664048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 914023 (or 914006 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 48.

The spelling of 440561664048 in words is "four hundred forty billion, five hundred sixty-one million, six hundred sixty-four thousand, forty-eight".