4444214004 has 72 divisors (see below), whose sum is σ = 11566595040. Its totient is φ = 1437746112.

The previous prime is 4444214003. The next prime is 4444214029. The reversal of 4444214004 is 4004124444.

4444214004 is a `hidden beast` number, since 4 + 444 + 214 + 0 + 0 + 4 = 666.

It is a super-3 number, since 3×4444214004³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4444214003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 554127 + ... + 562089.

Almost surely, 2^4444214004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4444214004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5783297520).

4444214004 is an abundant number, since it is smaller than the sum of its proper divisors (7122381036).

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

4444214004 is a wasteful number, since it uses less digits than its factorization.

4444214004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8429 (or 8424 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 27.

The square root of 4444214004 is about 66664.9383409300. The cubic root of 4444214004 is about 1644.1129666455.

Adding to 4444214004 its reverse (4004124444), we get a palindrome (8448338448).

The spelling of 4444214004 in words is "four billion, four hundred forty-four million, two hundred fourteen thousand, four".