4214004401 has 8 divisors (see below), whose sum is σ = 4298944104. Its totient is φ = 4129265920.

The previous prime is 4214004397. The next prime is 4214004451. The reversal of 4214004401 is 1044004124.

It is a happy number.

4214004401 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 292239025 + 3921765376 = 17095^2 + 62624^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 4214004401 - 2² = 4214004397 is a prime.

It is a super-4 number, since 4×4214004401⁴ (a number of 40 digits) contains 4444 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4214004451) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7640 + ... + 92121.

It is an arithmetic number, because the mean of its divisors is an integer number (537368013).

Almost surely, 2^4214004401 is an apocalyptic number.

It is an amenable number.

4214004401 is a deficient number, since it is larger than the sum of its proper divisors (84939703).

4214004401 is an equidigital number, since it uses as much as digits as its factorization.

4214004401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100611.

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

The square root of 4214004401 is about 64915.3633664636. The cubic root of 4214004401 is about 1615.2199186119.

Adding to 4214004401 its reverse (1044004124), we get a palindrome (5258008525).

The spelling of 4214004401 in words is "four billion, two hundred fourteen million, four thousand, four hundred one".