440243066240 has 128 divisors (see below), whose sum is σ = 1109092201920. Its totient is φ = 166772531200.

The previous prime is 440243066227. The next prime is 440243066251. The reversal of 440243066240 is 42660342044.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 440243066240.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1338662 + ... + 1634778.

Almost surely, 2^440243066240 is an apocalyptic number.

440243066240 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 440243066240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554546100960).

440243066240 is an abundant number, since it is smaller than the sum of its proper divisors (668849135680).

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

440243066240 is a wasteful number, since it uses less digits than its factorization.

440243066240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296260 (or 296248 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 35.

The spelling of 440243066240 in words is "four hundred forty billion, two hundred forty-three million, sixty-six thousand, two hundred forty".