4405435440312 has 128 divisors (see below), whose sum is σ = 11342296627200. Its totient is φ = 1425098441088.

The previous prime is 4405435440251. The next prime is 4405435440323. The reversal of 4405435440312 is 2130445345044.

It is a super-3 number, since 3×4405435440312³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

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, 520302303 + ... + 520310769.

It is an arithmetic number, because the mean of its divisors is an integer number (88611692400).

Almost surely, 2^{4405435440312} 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 4405435440312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5671148313600).

4405435440312 is an abundant number, since it is smaller than the sum of its proper divisors (6936861186888).

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

4405435440312 is a wasteful number, since it uses less digits than its factorization.

4405435440312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11705 (or 11701 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 39.

The spelling of 4405435440312 in words is "four trillion, four hundred five billion, four hundred thirty-five million, four hundred forty thousand, three hundred twelve".