440411468316 has 96 divisors (see below), whose sum is σ = 1090540066560. Its totient is φ = 137945493504.

The previous prime is 440411468311. The next prime is 440411468333. The reversal of 440411468316 is 613864114044.

It is a super-2 number, since 2×440411468316² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (440411468311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20643631 + ... + 20664953.

It is an arithmetic number, because the mean of its divisors is an integer number (11359792360).

Almost surely, 2^440411468316 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 440411468316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (545270033280).

440411468316 is an abundant number, since it is smaller than the sum of its proper divisors (650128598244).

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

440411468316 is a wasteful number, since it uses less digits than its factorization.

440411468316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22083 (or 22081 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

The spelling of 440411468316 in words is "four hundred forty billion, four hundred eleven million, four hundred sixty-eight thousand, three hundred sixteen".