1334741411136 has 112 divisors (see below), whose sum is σ = 4043174828544. Its totient is φ = 380677111296.

The previous prime is 1334741411111. The next prime is 1334741411137. The reversal of 1334741411136 is 6311141474331.

It is a tau number, because it is divible by the number of its divisors (112).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1334741411094 and 1334741411103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1334741411137) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 125310 + ... + 1638653.

Almost surely, 2^{1334741411136} is an apocalyptic number.

1334741411136 is a gapful number since it is divisible by the number (16) 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 1334741411136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2021587414272).

1334741411136 is an abundant number, since it is smaller than the sum of its proper divisors (2708433417408).

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

1334741411136 is a wasteful number, since it uses less digits than its factorization.

1334741411136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1764548 (or 1764538 counting only the distinct ones).

The product of its digits is 72576, while the sum is 39.

Adding to 1334741411136 its reverse (6311141474331), we get a palindrome (7645882885467).

The spelling of 1334741411136 in words is "one trillion, three hundred thirty-four billion, seven hundred forty-one million, four hundred eleven thousand, one hundred thirty-six".