214134040224144 has 200 divisors, whose sum is σ = 654088687549440. Its totient is φ = 67444716033792.

The previous prime is 214134040224047. The next prime is 214134040224151. The reversal of 214134040224144 is 441422040431412.

214134040224144 is a `hidden beast` number, since 2 + 1 + 4 + 1 + 3 + 4 + 0 + 402 + 241 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 214134040224099 and 214134040224108.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1921687 + ... + 20783670.

Almost surely, 2^{214134040224144} is an apocalyptic number.

214134040224144 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 214134040224144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327044343774720).

214134040224144 is an abundant number, since it is smaller than the sum of its proper divisors (439954647325296).

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

214134040224144 is a wasteful number, since it uses less digits than its factorization.

214134040224144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22705779 (or 22705764 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

Adding to 214134040224144 its reverse (441422040431412), we get a palindrome (655556080655556).

The spelling of 214134040224144 in words is "two hundred fourteen trillion, one hundred thirty-four billion, forty million, two hundred twenty-four thousand, one hundred forty-four".