4214404304 has 80 divisors (see below), whose sum is σ = 9006280704. Its totient is φ = 1894588800.

The previous prime is 4214404301. The next prime is 4214404331. The reversal of 4214404304 is 4034044124.

It is a happy number.

It is a super-2 number, since 2×4214404304² = 35522407275147448832, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4214404301) 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 15 ways as a sum of consecutive naturals, for example, 9513107 + ... + 9513549.

Almost surely, 2^4214404304 is an apocalyptic number.

4214404304 is a gapful number since it is divisible by the number (44) 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 4214404304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4503140352).

4214404304 is an abundant number, since it is smaller than the sum of its proper divisors (4791876400).

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

4214404304 is a wasteful number, since it uses less digits than its factorization.

4214404304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 936 (or 930 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

The square root of 4214404304 is about 64918.4434810324. The cubic root of 4214404304 is about 1615.2710110170.

Adding to 4214404304 its reverse (4034044124), we get a palindrome (8248448428).

The spelling of 4214404304 in words is "four billion, two hundred fourteen million, four hundred four thousand, three hundred four".