214322044244000 has 960 divisors, whose sum is σ = 664076783784960. Its totient is φ = 66591740160000.

The previous prime is 214322044243999. The next prime is 214322044244051. The reversal of 214322044244000 is 442440223412.

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 (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 176687587394 + ... + 176687588606.

It is an arithmetic number, because the mean of its divisors is an integer number (691746649776).

Almost surely, 2^{214322044244000} is an apocalyptic number.

214322044244000 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 214322044244000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332038391892480).

214322044244000 is an abundant number, since it is smaller than the sum of its proper divisors (449754739540960).

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

214322044244000 is an equidigital number, since it uses as much as digits as its factorization.

214322044244000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1720 (or 1669 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 32.

Adding to 214322044244000 its reverse (442440223412), we get a palindrome (214764484467412).

The spelling of 214322044244000 in words is "two hundred fourteen trillion, three hundred twenty-two billion, forty-four million, two hundred forty-four thousand".