4400214104 has 128 divisors (see below), whose sum is σ = 10313049600. Its totient is φ = 1730211840.

The previous prime is 4400214103. The next prime is 4400214131. The reversal of 4400214104 is 4014120044.

It is a happy number.

It is a super-2 number, since 2×4400214104² = 38723768322081045632, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4400214101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2107349 + ... + 2109435.

It is an arithmetic number, because the mean of its divisors is an integer number (80570700).

Almost surely, 2^4400214104 is an apocalyptic number.

4400214104 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 4400214104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5156524800).

4400214104 is an abundant number, since it is smaller than the sum of its proper divisors (5912835496).

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

4400214104 is a wasteful number, since it uses less digits than its factorization.

4400214104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2233 (or 2229 counting only the distinct ones).

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

The square root of 4400214104 is about 66334.1096570987. The cubic root of 4400214104 is about 1638.6691195522.

Adding to 4400214104 its reverse (4014120044), we get a palindrome (8414334148).

The spelling of 4400214104 in words is "four billion, four hundred million, two hundred fourteen thousand, one hundred four".