4122411444 has 72 divisors (see below), whose sum is σ = 10637827200. Its totient is φ = 1345586112.

The previous prime is 4122411431. The next prime is 4122411487. The reversal of 4122411444 is 4441142214.

It is a happy number.

4122411444 is a `hidden beast` number, since 412 + 241 + 1 + 4 + 4 + 4 = 666.

It is a super-2 number, since 2×4122411444² = 33988552227244330272, which contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1141089 + ... + 1144695.

It is an arithmetic number, because the mean of its divisors is an integer number (147747600).

Almost surely, 2^4122411444 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 4122411444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5318913600).

4122411444 is an abundant number, since it is smaller than the sum of its proper divisors (6515415756).

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

4122411444 is a wasteful number, since it uses less digits than its factorization.

4122411444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4269 (or 4264 counting only the distinct ones).

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

The square root of 4122411444 is about 64206.0078497332. The cubic root of 4122411444 is about 1603.4316248118.

Adding to 4122411444 its reverse (4441142214), we get a palindrome (8563553658).

The spelling of 4122411444 in words is "four billion, one hundred twenty-two million, four hundred eleven thousand, four hundred forty-four".