142928719878399 has 256 divisors, whose sum is σ = 249900127948800. Its totient is φ = 70650360152064.

The previous prime is 142928719878359. The next prime is 142928719878409. The reversal of 142928719878399 is 993878917829241.

It is a happy number.

It is a Cunningham number, because it is equal to 11955280²-1.

It is not a de Polignac number, because 142928719878399 - 2²³ = 142928711489791 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (87).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142928719878359) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 13832252637 + ... + 13832262969.

It is an arithmetic number, because the mean of its divisors is an integer number (976172374800).

Almost surely, 2^{142928719878399} is an apocalyptic number.

142928719878399 is a deficient number, since it is larger than the sum of its proper divisors (106971408070401).

142928719878399 is a wasteful number, since it uses less digits than its factorization.

142928719878399 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10834.

The product of its digits is 7900913664, while the sum is 87.

The spelling of 142928719878399 in words is "one hundred forty-two trillion, nine hundred twenty-eight billion, seven hundred nineteen million, eight hundred seventy-eight thousand, three hundred ninety-nine".