142424365214304 has 144 divisors (see below), whose sum is σ = 406521381468384. Its totient is φ = 47298769459200.

The previous prime is 142424365214297. The next prime is 142424365214309. The reversal of 142424365214304 is 403412563424241.

142424365214304 is a `hidden beast` number, since 1 + 4 + 2 + 42 + 4 + 365 + 214 + 30 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 142424365214304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142424365214309) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 555928222 + ... + 556184354.

It is an arithmetic number, because the mean of its divisors is an integer number (2823065149086).

Almost surely, 2^{142424365214304} 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 142424365214304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203260690734192).

142424365214304 is an abundant number, since it is smaller than the sum of its proper divisors (264097016254080).

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

142424365214304 is a wasteful number, since it uses less digits than its factorization.

142424365214304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263301 (or 263290 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 45.

The spelling of 142424365214304 in words is "one hundred forty-two trillion, four hundred twenty-four billion, three hundred sixty-five million, two hundred fourteen thousand, three hundred four".