4214400205 has 16 divisors (see below), whose sum is σ = 5330389680. Its totient is φ = 3193835008.

The previous prime is 4214400191. The next prime is 4214400257. The reversal of 4214400205 is 5020044124.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 302272996 + 3912127209 = 17386^2 + 62547^2 .

It is a cyclic number.

It is not a de Polignac number, because 4214400205 - 2⁵ = 4214400173 is a prime.

It is a super-2 number, since 2×4214400205² = 35522338175808084050, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 266512 + ... + 281881.

It is an arithmetic number, because the mean of its divisors is an integer number (333149355).

Almost surely, 2^4214400205 is an apocalyptic number.

It is an amenable number.

4214400205 is a deficient number, since it is larger than the sum of its proper divisors (1115989475).

4214400205 is a wasteful number, since it uses less digits than its factorization.

4214400205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 548480.

The product of its (nonzero) digits is 1280, while the sum is 22.

The square root of 4214400205 is about 64918.4119106437. The cubic root of 4214400205 is about 1615.2704873370.

Adding to 4214400205 its reverse (5020044124), we get a palindrome (9234444329).

The spelling of 4214400205 in words is "four billion, two hundred fourteen million, four hundred thousand, two hundred five".