4211444000 has 96 divisors (see below), whose sum is σ = 10956372336. Its totient is φ = 1585459200.

The previous prime is 4211443969. The next prime is 4211444021. The reversal of 4211444000 is 4441124.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 362978704 + 3848465296 = 19052^2 + 62036^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 37034 + ... + 98966.

Almost surely, 2^4211444000 is an apocalyptic number.

4211444000 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 4211444000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5478186168).

4211444000 is an abundant number, since it is smaller than the sum of its proper divisors (6744928336).

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

4211444000 is a wasteful number, since it uses less digits than its factorization.

4211444000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61975 (or 61957 counting only the distinct ones).

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

The square root of 4211444000 is about 64895.6392988003. The cubic root of 4211444000 is about 1614.8927200478.

Adding to 4211444000 its reverse (4441124), we get a palindrome (4215885124).

The spelling of 4211444000 in words is "four billion, two hundred eleven million, four hundred forty-four thousand".