440440400440 has 32 divisors (see below), whose sum is σ = 1005781816080. Its totient is φ = 173546664192.

The previous prime is 440440400437. The next prime is 440440400531. The reversal of 440440400440 is 44004044044.

It is a junction number, because it is equal to n+sod(n) for n = 440440400399 and 440440400408.

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 7 ways as a sum of consecutive naturals, for example, 82169037 + ... + 82174396.

Almost surely, 2^440440400440 is an apocalyptic number.

440440400440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

440440400440 is an abundant number, since it is smaller than the sum of its proper divisors (565341415640).

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

440440400440 is a wasteful number, since it uses less digits than its factorization.

440440400440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164343511 (or 164343507 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 28.

Adding to 440440400440 its reverse (44004044044), we get a palindrome (484444444484).

The spelling of 440440400440 in words is "four hundred forty billion, four hundred forty million, four hundred thousand, four hundred forty".