214213141300320 has 480 divisors, whose sum is σ = 773411431161600. Its totient is φ = 55819016745984.

The previous prime is 214213141300307. The next prime is 214213141300363. The reversal of 214213141300320 is 23003141312412.

214213141300320 is a `hidden beast` number, since 2 + 1 + 4 + 2 + 1 + 31 + 4 + 1 + 300 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 126856111 + ... + 128533649.

It is an arithmetic number, because the mean of its divisors is an integer number (1611273814920).

Almost surely, 2^{214213141300320} is an apocalyptic number.

214213141300320 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 214213141300320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386705715580800).

214213141300320 is an abundant number, since it is smaller than the sum of its proper divisors (559198289861280).

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

214213141300320 is a wasteful number, since it uses less digits than its factorization.

214213141300320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1677792 (or 1677775 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 214213141300320 its reverse (23003141312412), we get a palindrome (237216282612732).

The spelling of 214213141300320 in words is "two hundred fourteen trillion, two hundred thirteen billion, one hundred forty-one million, three hundred thousand, three hundred twenty".