141034433122240 has 448 divisors, whose sum is σ = 414543992002560. Its totient is φ = 44632503336960.

The previous prime is 141034433122223. The next prime is 141034433122259. The reversal of 141034433122240 is 42221334430141.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×141034433122240² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 141034433122196 and 141034433122205.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 2780457519 + ... + 2780508241.

It is an arithmetic number, because the mean of its divisors is an integer number (925321410720).

Almost surely, 2^{141034433122240} is an apocalyptic number.

141034433122240 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 141034433122240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207271996001280).

141034433122240 is an abundant number, since it is smaller than the sum of its proper divisors (273509558880320).

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

141034433122240 is a wasteful number, since it uses less digits than its factorization.

141034433122240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52660 (or 52650 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 34.

Adding to 141034433122240 its reverse (42221334430141), we get a palindrome (183255767552381).

The spelling of 141034433122240 in words is "one hundred forty-one trillion, thirty-four billion, four hundred thirty-three million, one hundred twenty-two thousand, two hundred forty".