214414101200 has 60 divisors (see below), whose sum is σ = 554755266828. Its totient is φ = 79168281600.

The previous prime is 214414101169. The next prime is 214414101203. The reversal of 214414101200 is 2101414412.

It can be written as a sum of positive squares in 6 ways, for example, as 94182699664 + 120231401536 = 306892^2 + 346744^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214414101203) 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 11 ways as a sum of consecutive naturals, for example, 20611541 + ... + 20621940.

Almost surely, 2^214414101200 is an apocalyptic number.

214414101200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214414101200 is an abundant number, since it is smaller than the sum of its proper divisors (340341165628).

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

214414101200 is a wasteful number, since it uses less digits than its factorization.

214414101200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41233512 (or 41233501 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 214414101200 its reverse (2101414412), we get a palindrome (216515515612).

It can be divided in two parts, 214 and 414101200, that added together give a palindrome (414101414).

The spelling of 214414101200 in words is "two hundred fourteen billion, four hundred fourteen million, one hundred one thousand, two hundred".