1334330411744 has 144 divisors (see below), whose sum is σ = 3083110563456. Its totient is φ = 566650318080.

The previous prime is 1334330411719. The next prime is 1334330411747. The reversal of 1334330411744 is 4471140334331.

It is a junction number, because it is equal to n+sod(n) for n = 1334330411698 and 1334330411707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1334330411747) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3655187 + ... + 4003629.

It is an arithmetic number, because the mean of its divisors is an integer number (21410490024).

Almost surely, 2^{1334330411744} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1334330411744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1541555281728).

1334330411744 is an abundant number, since it is smaller than the sum of its proper divisors (1748780151712).

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

1334330411744 is a wasteful number, since it uses less digits than its factorization.

1334330411744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348541 (or 348522 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 38.

The spelling of 1334330411744 in words is "one trillion, three hundred thirty-four billion, three hundred thirty million, four hundred eleven thousand, seven hundred forty-four".