210324414420 has 72 divisors (see below), whose sum is σ = 648442845960. Its totient is φ = 55167056640.

The previous prime is 210324414403. The next prime is 210324414449. The reversal of 210324414420 is 24414423012.

210324414420 is a `hidden beast` number, since 210 + 3 + 2 + 4 + 4 + 1 + 442 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10692387216 + 199632027204 = 103404^2 + 446802^2 .

It is a super-2 number, since 2×210324414420² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 9566635 + ... + 9588594.

Almost surely, 2^210324414420 is an apocalyptic number.

210324414420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210324414420 is an abundant number, since it is smaller than the sum of its proper divisors (438118431540).

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

210324414420 is a wasteful number, since it uses less digits than its factorization.

210324414420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19155305 (or 19155300 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 210324414420 its reverse (24414423012), we get a palindrome (234738837432).

The spelling of 210324414420 in words is "two hundred ten billion, three hundred twenty-four million, four hundred fourteen thousand, four hundred twenty".