4111100224 has 336 divisors, whose sum is σ = 11326855680. Its totient is φ = 1433963520.

The previous prime is 4111100219. The next prime is 4111100239. The reversal of 4111100224 is 4220011114.

It is a happy number.

It is a super-2 number, since 2×4111100224² = 33802290103545700352, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 4111100198 and 4111100207.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 49531287 + ... + 49531369.

It is an arithmetic number, because the mean of its divisors is an integer number (33710880).

Almost surely, 2^4111100224 is an apocalyptic number.

4111100224 is a gapful number since it is divisible by the number (44) 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 4111100224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5663427840).

4111100224 is an abundant number, since it is smaller than the sum of its proper divisors (7215755456).

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

4111100224 is a wasteful number, since it uses less digits than its factorization.

4111100224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 4111100224 is about 64117.8619730883. The cubic root of 4111100224 is about 1601.9637637838.

Adding to 4111100224 its reverse (4220011114), we get a palindrome (8331111338).

The spelling of 4111100224 in words is "four billion, one hundred eleven million, one hundred thousand, two hundred twenty-four".