214324020400 has 360 divisors, whose sum is σ = 632174783760. Its totient is φ = 69431040000.

The previous prime is 214324020397. The next prime is 214324020403. The reversal of 214324020400 is 4020423412.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (214324020397) and next prime (214324020403).

It is not an unprimeable number, because it can be changed into a prime (214324020403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 261051990 + ... + 261052810.

It is an arithmetic number, because the mean of its divisors is an integer number (1756041066).

Almost surely, 2^214324020400 is an apocalyptic number.

214324020400 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 214324020400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316087391880).

214324020400 is an abundant number, since it is smaller than the sum of its proper divisors (417850763360).

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

214324020400 is a wasteful number, since it uses less digits than its factorization.

214324020400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1573 (or 1555 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 214324020400 its reverse (4020423412), we get a palindrome (218344443812).

The spelling of 214324020400 in words is "two hundred fourteen billion, three hundred twenty-four million, twenty thousand, four hundred".