4224100140 has 144 divisors (see below), whose sum is σ = 14525128800. Its totient is φ = 985042944.

The previous prime is 4224100093. The next prime is 4224100147. The reversal of 4224100140 is 410014224.

4224100140 is a `hidden beast` number, since 422 + 4 + 100 + 140 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (4224100147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3045 + ... + 91964.

It is an arithmetic number, because the mean of its divisors is an integer number (100868950).

Almost surely, 2^4224100140 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 4224100140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7262564400).

4224100140 is an abundant number, since it is smaller than the sum of its proper divisors (10301028660).

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

4224100140 is a wasteful number, since it uses less digits than its factorization.

4224100140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95056 (or 95051 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 4224100140 is about 64993.0776313909. The cubic root of 4224100140 is about 1616.5087824464.

Adding to 4224100140 its reverse (410014224), we get a palindrome (4634114364).

The spelling of 4224100140 in words is "four billion, two hundred twenty-four million, one hundred thousand, one hundred forty".