4417140420 has 288 divisors, whose sum is σ = 16766620416. Its totient is φ = 914457600.

The previous prime is 4417140407. The next prime is 4417140421. The reversal of 4417140420 is 240417144.

It is a super-2 number, since 2×4417140420² = 39022258979995552800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4417140421) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 5834682 + ... + 5835438.

It is an arithmetic number, because the mean of its divisors is an integer number (58217432).

Almost surely, 2^4417140420 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 4417140420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8383310208).

4417140420 is an abundant number, since it is smaller than the sum of its proper divisors (12349479996).

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

4417140420 is a wasteful number, since it uses less digits than its factorization.

4417140420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1211 (or 1206 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 4417140420 is about 66461.5710015946. The cubic root of 4417140420 is about 1640.7675888261.

Adding to 4417140420 its reverse (240417144), we get a palindrome (4657557564).

The spelling of 4417140420 in words is "four billion, four hundred seventeen million, one hundred forty thousand, four hundred twenty".