4441213000 has 192 divisors, whose sum is σ = 12172258800. Its totient is φ = 1512268800.

The previous prime is 4441212983. The next prime is 4441213001. The reversal of 4441213000 is 3121444.

It can be written as a sum of positive squares in 8 ways, for example, as 61685316 + 4379527684 = 7854^2 + 66178^2 .

It is a super-2 number, since 2×4441213000² = 39448745822738000000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4441213001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11416806 + ... + 11417194.

Almost surely, 2^4441213000 is an apocalyptic number.

4441213000 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 4441213000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6086129400).

4441213000 is an abundant number, since it is smaller than the sum of its proper divisors (7731045800).

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

4441213000 is a wasteful number, since it uses less digits than its factorization.

4441213000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 657 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 4441213000 is about 66642.4264264140. The cubic root of 4441213000 is about 1643.7428149098.

Adding to 4441213000 its reverse (3121444), we get a palindrome (4444334444).

The spelling of 4441213000 in words is "four billion, four hundred forty-one million, two hundred thirteen thousand".