142859729514240 has 864 divisors, whose sum is σ = 515952192571200. Its totient is φ = 37426137661440.

The previous prime is 142859729514199. The next prime is 142859729514259. The reversal of 142859729514240 is 42415927958241.

142859729514240 is a `hidden beast` number, since 1 + 4 + 2 + 8 + 5 + 9 + 72 + 9 + 514 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 325420795941 + ... + 325420796379.

It is an arithmetic number, because the mean of its divisors is an integer number (597166889550).

Almost surely, 2^{142859729514240} is an apocalyptic number.

142859729514240 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 142859729514240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257976096285600).

142859729514240 is an abundant number, since it is smaller than the sum of its proper divisors (373092463056960).

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

142859729514240 is an frugal number, since it uses more digits than its factorization.

142859729514240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1238 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 58060800, while the sum is 63.

The spelling of 142859729514240 in words is "one hundred forty-two trillion, eight hundred fifty-nine billion, seven hundred twenty-nine million, five hundred fourteen thousand, two hundred forty".