141424400034 has 128 divisors (see below), whose sum is σ = 337612769280. Its totient is φ = 43767801792.

The previous prime is 141424400027. The next prime is 141424400059. The reversal of 141424400034 is 430004424141.

141424400034 is a `hidden beast` number, since 1 + 414 + 244 + 0 + 0 + 0 + 3 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 141424399980 and 141424400007.

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, 20354149 + ... + 20361095.

It is an arithmetic number, because the mean of its divisors is an integer number (2637599760).

Almost surely, 2^141424400034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141424400034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168806384640).

141424400034 is an abundant number, since it is smaller than the sum of its proper divisors (196188369246).

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

141424400034 is a wasteful number, since it uses less digits than its factorization.

141424400034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7461 (or 7455 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 141424400034 its reverse (430004424141), we get a palindrome (571428824175).

The spelling of 141424400034 in words is "one hundred forty-one billion, four hundred twenty-four million, four hundred thousand, thirty-four".