214314040213224 has 256 divisors, whose sum is σ = 620171354880000. Its totient is φ = 60453334471680.

The previous prime is 214314040213199. The next prime is 214314040213243. The reversal of 214314040213224 is 422312040413412.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10623796002 + ... + 10623816174.

It is an arithmetic number, because the mean of its divisors is an integer number (2422544355000).

Almost surely, 2^{214314040213224} is an apocalyptic number.

214314040213224 is a gapful number since it is divisible by the number (24) 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 214314040213224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310085677440000).

214314040213224 is an abundant number, since it is smaller than the sum of its proper divisors (405857314666776).

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

214314040213224 is a wasteful number, since it uses less digits than its factorization.

214314040213224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22888 (or 22884 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

Adding to 214314040213224 its reverse (422312040413412), we get a palindrome (636626080626636).

The spelling of 214314040213224 in words is "two hundred fourteen trillion, three hundred fourteen billion, forty million, two hundred thirteen thousand, two hundred twenty-four".