142928719878400 has 81 divisors (see below), whose sum is σ = 353773281622243. Its totient is φ = 57171105382400.

The previous prime is 142928719878359. The next prime is 142928719878409. The reversal of 142928719878400 is 4878917829241.

The square root of 142928719878400 is 11955280.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 10470349867264 + 132458370011136 = 3235792^2 + 11509056^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 142928719878400.

It is not an unprimeable number, because it can be changed into a prime (142928719878409) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 956347680 + ... + 956497120.

Almost surely, 2^{142928719878400} is an apocalyptic number.

142928719878400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

142928719878400 is the 11955280-th square number.

It is an amenable number.

142928719878400 is an abundant number, since it is smaller than the sum of its proper divisors (210844561743843).

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

142928719878400 is an frugal number, since it uses more digits than its factorization.

142928719878400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298908 (or 149448 counting only the distinct ones).

The product of its (nonzero) digits is 130056192, while the sum is 70.

The spelling of 142928719878400 in words is "one hundred forty-two trillion, nine hundred twenty-eight billion, seven hundred nineteen million, eight hundred seventy-eight thousand, four hundred".