4211124444 has 96 divisors (see below), whose sum is σ = 11370670080. Its totient is φ = 1346284800.

The previous prime is 4211124439. The next prime is 4211124457. The reversal of 4211124444 is 4444211124.

It is a happy number.

4211124444 is a `hidden beast` number, since 4 + 211 + 1 + 2 + 4 + 444 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 372759 + ... + 383889.

It is an arithmetic number, because the mean of its divisors is an integer number (118444480).

Almost surely, 2^4211124444 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 4211124444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5685335040).

4211124444 is an abundant number, since it is smaller than the sum of its proper divisors (7159545636).

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

4211124444 is a wasteful number, since it uses less digits than its factorization.

4211124444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11288 (or 11280 counting only the distinct ones).

The product of its digits is 4096, while the sum is 27.

The square root of 4211124444 is about 64893.1771760329. The cubic root of 4211124444 is about 1614.8518740648.

Adding to 4211124444 its reverse (4444211124), we get a palindrome (8655335568).

The spelling of 4211124444 in words is "four billion, two hundred eleven million, one hundred twenty-four thousand, four hundred forty-four".