1334341103440 has 80 divisors (see below), whose sum is σ = 3122893367568. Its totient is φ = 530202636288.

The previous prime is 1334341103411. The next prime is 1334341103443. The reversal of 1334341103440 is 443011434331.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 86687847184 + 1247653256256 = 294428^2 + 1116984^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1334341103443) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 60440244 + ... + 60462316.

Almost surely, 2^{1334341103440} is an apocalyptic number.

1334341103440 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 1334341103440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1561446683784).

1334341103440 is an abundant number, since it is smaller than the sum of its proper divisors (1788552264128).

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

1334341103440 is a wasteful number, since it uses less digits than its factorization.

1334341103440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27056 (or 27050 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 31.

Adding to 1334341103440 its reverse (443011434331), we get a palindrome (1777352537771).

The spelling of 1334341103440 in words is "one trillion, three hundred thirty-four billion, three hundred forty-one million, one hundred three thousand, four hundred forty".