4214444000 has 96 divisors (see below), whose sum is σ = 11151556416. Its totient is φ = 1556083200.

The previous prime is 4214443993. The next prime is 4214444009. The reversal of 4214444000 is 4444124.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4214444009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11477 + ... + 92523.

It is an arithmetic number, because the mean of its divisors is an integer number (116162046).

Almost surely, 2^4214444000 is an apocalyptic number.

4214444000 is a gapful number since it is divisible by the number (40) 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 4214444000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5575778208).

4214444000 is an abundant number, since it is smaller than the sum of its proper divisors (6937112416).

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

4214444000 is a wasteful number, since it uses less digits than its factorization.

4214444000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81085 (or 81067 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 23.

The square root of 4214444000 is about 64918.7492177722. The cubic root of 4214444000 is about 1615.2760824808.

Adding to 4214444000 its reverse (4444124), we get a palindrome (4218888124).

The spelling of 4214444000 in words is "four billion, two hundred fourteen million, four hundred forty-four thousand".