4140420140 has 96 divisors (see below), whose sum is σ = 9239408640. Its totient is φ = 1556294400.

The previous prime is 4140420133. The next prime is 4140420269. The reversal of 4140420140 is 410240414.

It is a happy number.

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

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 31 ways as a sum of consecutive naturals, for example, 3138401 + ... + 3139719.

It is an arithmetic number, because the mean of its divisors is an integer number (96243840).

Almost surely, 2^4140420140 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 4140420140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4619704320).

4140420140 is an abundant number, since it is smaller than the sum of its proper divisors (5098988500).

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

4140420140 is a wasteful number, since it uses less digits than its factorization.

4140420140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1503 (or 1501 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 4140420140 is about 64346.0965405051. The cubic root of 4140420140 is about 1605.7630892242.

Adding to 4140420140 its reverse (410240414), we get a palindrome (4550660554).

The spelling of 4140420140 in words is "four billion, one hundred forty million, four hundred twenty thousand, one hundred forty".