141322002002304 has 1152 divisors, whose sum is σ = 423630133812000. Its totient is φ = 41709224853504.

The previous prime is 141322002002227. The next prime is 141322002002359. The reversal of 141322002002304 is 403200200223141.

It is a happy number.

141322002002304 is digitally balanced in base 3, 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 (24).

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 143 ways as a sum of consecutive naturals, for example, 948469812022 + ... + 948469812170.

Almost surely, 2^{141322002002304} 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 141322002002304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211815066906000).

141322002002304 is an abundant number, since it is smaller than the sum of its proper divisors (282308131809696).

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

141322002002304 is a wasteful number, since it uses less digits than its factorization.

141322002002304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 141322002002304 its reverse (403200200223141), we get a palindrome (544522202225445).

The spelling of 141322002002304 in words is "one hundred forty-one trillion, three hundred twenty-two billion, two million, two thousand, three hundred four".