14427842560000 has 225 divisors, whose sum is σ = 36087365861239. Its totient is φ = 5766275072000.

The previous prime is 14427842559989. The next prime is 14427842560031. The reversal of 14427842560000 is 6524872441.

The square root of 14427842560000 is 3798400.

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

It can be written as a sum of positive squares in 2 ways, for example, as 1131142856704 + 13296699703296 = 1063552^2 + 3646464^2 .

It is a super-2 number, since 2×14427842560000² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 12154879407 + ... + 12154880593.

Almost surely, 2^{14427842560000} is an apocalyptic number.

14427842560000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

14427842560000 is the 3798400-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14427842560000

14427842560000 is an abundant number, since it is smaller than the sum of its proper divisors (21659523301239).

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

14427842560000 is an frugal number, since it uses more digits than its factorization.

14427842560000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2422 (or 1194 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 43.

The spelling of 14427842560000 in words is "fourteen trillion, four hundred twenty-seven billion, eight hundred forty-two million, five hundred sixty thousand".