1141411311144 has 96 divisors (see below), whose sum is σ = 3524946745320. Its totient is φ = 330544447488.

The previous prime is 1141411311137. The next prime is 1141411311149. The reversal of 1141411311144 is 4411131141411.

1141411311144 is a `hidden beast` number, since 1 + 1 + 414 + 1 + 131 + 114 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 707970788100 + 433440523044 = 841410^2 + 658362^2 .

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

It is not an unprimeable number, because it can be changed into a prime (1141411311149) 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 23 ways as a sum of consecutive naturals, for example, 35850457 + ... + 35882280.

Almost surely, 2^{1141411311144} is an apocalyptic number.

It is an amenable number.

1141411311144 is an abundant number, since it is smaller than the sum of its proper divisors (2383535434176).

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

1141411311144 is a wasteful number, since it uses less digits than its factorization.

1141411311144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71732779 (or 71732772 counting only the distinct ones).

The product of its digits is 768, while the sum is 27.

Adding to 1141411311144 its reverse (4411131141411), we get a palindrome (5552542452555).

The spelling of 1141411311144 in words is "one trillion, one hundred forty-one billion, four hundred eleven million, three hundred eleven thousand, one hundred forty-four".