1344430420440 has 128 divisors (see below), whose sum is σ = 4170798950400. Its totient is φ = 346332994560.

The previous prime is 1344430420429. The next prime is 1344430420453. The reversal of 1344430420440 is 440240344431.

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, 1773396 + ... + 2415324.

It is an arithmetic number, because the mean of its divisors is an integer number (32584366800).

Almost surely, 2^{1344430420440} is an apocalyptic number.

1344430420440 is a gapful number since it is divisible by the number (10) 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 1344430420440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2085399475200).

1344430420440 is an abundant number, since it is smaller than the sum of its proper divisors (2826368529960).

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

1344430420440 is a wasteful number, since it uses less digits than its factorization.

1344430420440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 642537 (or 642533 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 33.

Adding to 1344430420440 its reverse (440240344431), we get a palindrome (1784670764871).

The spelling of 1344430420440 in words is "one trillion, three hundred forty-four billion, four hundred thirty million, four hundred twenty thousand, four hundred forty".