214414400000 has 240 divisors, whose sum is σ = 554062897080. Its totient is φ = 82790400000.

The previous prime is 214414399993. The next prime is 214414400003. The reversal of 214414400000 is 4414412.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 110255874304 + 104158525696 = 332048^2 + 322736^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (214414400003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46397690 + ... + 46402310.

Almost surely, 2^214414400000 is an apocalyptic number.

214414400000 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 214414400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277031448540).

214414400000 is an abundant number, since it is smaller than the sum of its proper divisors (339648497080).

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

214414400000 is an frugal number, since it uses more digits than its factorization.

214414400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4693 (or 4657 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 214414400000 its reverse (4414412), we get a palindrome (214418814412).

The spelling of 214414400000 in words is "two hundred fourteen billion, four hundred fourteen million, four hundred thousand".