4414411100 has 72 divisors (see below), whose sum is σ = 10505327616. Its totient is φ = 1596760000.

The previous prime is 4414411087. The next prime is 4414411109. The reversal of 4414411100 is 11144144.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4414411109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 199595 + ... + 220605.

It is an arithmetic number, because the mean of its divisors is an integer number (145907328).

Almost surely, 2^4414411100 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 4414411100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5252663808).

4414411100 is an abundant number, since it is smaller than the sum of its proper divisors (6090916516).

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

4414411100 is a wasteful number, since it uses less digits than its factorization.

4414411100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21227 (or 21220 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

The square root of 4414411100 is about 66441.0347601541. The cubic root of 4414411100 is about 1640.4295796141.

4414411100 divided by its sum of digits (20) gives a triangular number (220720555 = T₂₁₀₁₀).

Adding to 4414411100 its reverse (11144144), we get a palindrome (4425555244).

It can be divided in two parts, 4414 and 411100, that added together give a palindrome (415514).

The spelling of 4414411100 in words is "four billion, four hundred fourteen million, four hundred eleven thousand, one hundred".