141413434344 has 576 divisors, whose sum is σ = 496707120000. Its totient is φ = 35998276608.

The previous prime is 141413434339. The next prime is 141413434369. The reversal of 141413434344 is 443434314141.

141413434344 is a `hidden beast` number, since 141 + 4 + 134 + 343 + 44 = 666.

141413434344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 = 141413434299 and 141413434308.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 283393407 + ... + 283393905.

It is an arithmetic number, because the mean of its divisors is an integer number (862338750).

Almost surely, 2^141413434344 is an apocalyptic number.

141413434344 is a gapful number since it is divisible by the number (14) 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 141413434344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248353560000).

141413434344 is an abundant number, since it is smaller than the sum of its proper divisors (355293685656).

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

141413434344 is a wasteful number, since it uses less digits than its factorization.

141413434344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 742 (or 728 counting only the distinct ones).

The product of its digits is 110592, while the sum is 36.

Adding to 141413434344 its reverse (443434314141), we get a palindrome (584847748485).

The spelling of 141413434344 in words is "one hundred forty-one billion, four hundred thirteen million, four hundred thirty-four thousand, three hundred forty-four".