214034220033424 has 160 divisors (see below), whose sum is σ = 493687883238912. Its totient is φ = 87976627200000.

The previous prime is 214034220033383. The next prime is 214034220033427. The reversal of 214034220033424 is 424330022430412.

It is a self number, because there is not a number n which added to its sum of digits gives 214034220033424.

It is not an unprimeable number, because it can be changed into a prime (214034220033427) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1677307224 + ... + 1677434824.

Almost surely, 2^{214034220033424} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214034220033424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246843941619456).

214034220033424 is an abundant number, since it is smaller than the sum of its proper divisors (279653663205488).

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

214034220033424 is a wasteful number, since it uses less digits than its factorization.

214034220033424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133425 (or 133419 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 34.

Adding to 214034220033424 its reverse (424330022430412), we get a palindrome (638364242463836).

The spelling of 214034220033424 in words is "two hundred fourteen trillion, thirty-four billion, two hundred twenty million, thirty-three thousand, four hundred twenty-four".