440468422588480 has 224 divisors, whose sum is σ = 1234654469959680. Its totient is φ = 147559062036480.

The previous prime is 440468422588459. The next prime is 440468422588483. The reversal of 440468422588480 is 84885224864044.

It is not an unprimeable number, because it can be changed into a prime (440468422588483) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13836417 + ... + 32747263.

It is an arithmetic number, because the mean of its divisors is an integer number (5511850312320).

Almost surely, 2^{440468422588480} is an apocalyptic number.

440468422588480 is a gapful number since it is divisible by the number (40) 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 440468422588480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (617327234979840).

440468422588480 is an abundant number, since it is smaller than the sum of its proper divisors (794186047371200).

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

440468422588480 is a wasteful number, since it uses less digits than its factorization.

440468422588480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18911397 (or 18911387 counting only the distinct ones).

The product of its (nonzero) digits is 503316480, while the sum is 67.

The spelling of 440468422588480 in words is "four hundred forty trillion, four hundred sixty-eight billion, four hundred twenty-two million, five hundred eighty-eight thousand, four hundred eighty".