214121334400 has 48 divisors (see below), whose sum is σ = 528946616790. Its totient is φ = 85648532480.

The previous prime is 214121334391. The next prime is 214121334403. The reversal of 214121334400 is 4433121412.

It can be written as a sum of positive squares in 3 ways, for example, as 87800801344 + 126320533056 = 296312^2 + 355416^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (214121334403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 33453259 + ... + 33459658.

Almost surely, 2^214121334400 is an apocalyptic number.

214121334400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214121334400 is an abundant number, since it is smaller than the sum of its proper divisors (314825282390).

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

214121334400 is an equidigital number, since it uses as much as digits as its factorization.

214121334400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66912941 (or 66912924 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 214121334400 its reverse (4433121412), we get a palindrome (218554455812).

The spelling of 214121334400 in words is "two hundred fourteen billion, one hundred twenty-one million, three hundred thirty-four thousand, four hundred".