141324503040 has 1152 divisors, whose sum is σ = 588736512000. Its totient is φ = 30686183424.

The previous prime is 141324503017. The next prime is 141324503051. The reversal of 141324503040 is 40305423141.

It is a happy number.

141324503040 is a `hidden beast` number, since 1 + 413 + 245 + 0 + 3 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a junction number, because it is equal to n+sod(n) for n = 141324502995 and 141324503013.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1788917721 + ... + 1788917799.

It is an arithmetic number, because the mean of its divisors is an integer number (511056000).

Almost surely, 2^141324503040 is an apocalyptic number.

141324503040 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 141324503040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294368256000).

141324503040 is an abundant number, since it is smaller than the sum of its proper divisors (447412008960).

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

141324503040 is a wasteful number, since it uses less digits than its factorization.

141324503040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 141324503040 its reverse (40305423141), we get a palindrome (181629926181).

The spelling of 141324503040 in words is "one hundred forty-one billion, three hundred twenty-four million, five hundred three thousand, forty".