4431440404440 has 192 divisors, whose sum is σ = 16462280540160. Its totient is φ = 1012737911040.

The previous prime is 4431440404411. The next prime is 4431440404471. The reversal of 4431440404440 is 444040441344.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4431440404395 and 4431440404404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15906745 + ... + 16182935.

It is an arithmetic number, because the mean of its divisors is an integer number (85741044480).

Almost surely, 2^{4431440404440} is an apocalyptic number.

4431440404440 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 4431440404440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8231140270080).

4431440404440 is an abundant number, since it is smaller than the sum of its proper divisors (12030840135720).

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

4431440404440 is a wasteful number, since it uses less digits than its factorization.

4431440404440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282582 (or 282575 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 36.

Adding to 4431440404440 its reverse (444040441344), we get a palindrome (4875480845784).

The spelling of 4431440404440 in words is "four trillion, four hundred thirty-one billion, four hundred forty million, four hundred four thousand, four hundred forty".