214224142244000 has 768 divisors, whose sum is σ = 651376718254080. Its totient is φ = 67569219993600.

The previous prime is 214224142243987. The next prime is 214224142244029. The reversal of 214224142244000 is 442241422412.

It is a Harshad number since it is a multiple of its sum of digits (32).

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 127 ways as a sum of consecutive naturals, for example, 6786316217 + ... + 6786347783.

It is an arithmetic number, because the mean of its divisors is an integer number (848146768560).

Almost surely, 2^{214224142244000} is an apocalyptic number.

214224142244000 is a gapful number since it is divisible by the number (20) 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 214224142244000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325688359127040).

214224142244000 is an abundant number, since it is smaller than the sum of its proper divisors (437152576010080).

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

214224142244000 is a wasteful number, since it uses less digits than its factorization.

214224142244000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31938 (or 31920 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 32.

Adding to 214224142244000 its reverse (442241422412), we get a palindrome (214666383666412).

The spelling of 214224142244000 in words is "two hundred fourteen trillion, two hundred twenty-four billion, one hundred forty-two million, two hundred forty-four thousand".