214203430320 has 160 divisors (see below), whose sum is σ = 727092391680. Its totient is φ = 51734891520.

The previous prime is 214203430267. The next prime is 214203430369. The reversal of 214203430320 is 23034302412.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 559347 + ... + 860973.

It is an arithmetic number, because the mean of its divisors is an integer number (4544327448).

Almost surely, 2^214203430320 is an apocalyptic number.

214203430320 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 214203430320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363546195840).

214203430320 is an abundant number, since it is smaller than the sum of its proper divisors (512888961360).

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

214203430320 is a wasteful number, since it uses less digits than its factorization.

214203430320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301923 (or 301917 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 214203430320 its reverse (23034302412), we get a palindrome (237237732732).

The spelling of 214203430320 in words is "two hundred fourteen billion, two hundred three million, four hundred thirty thousand, three hundred twenty".