4140442410 has 128 divisors (see below), whose sum is σ = 10994780160. Its totient is φ = 991616256.

The previous prime is 4140442409. The next prime is 4140442459. The reversal of 4140442410 is 142440414.

It is a happy number.

4140442410 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2369157 + ... + 2370903.

It is an arithmetic number, because the mean of its divisors is an integer number (85896720).

Almost surely, 2^4140442410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4140442410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5497390080).

4140442410 is an abundant number, since it is smaller than the sum of its proper divisors (6854337750).

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

4140442410 is a wasteful number, since it uses less digits than its factorization.

4140442410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1932.

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 4140442410 is about 64346.2695888425. The cubic root of 4140442410 is about 1605.7659681816.

Adding to 4140442410 its reverse (142440414), we get a palindrome (4282882824).

The spelling of 4140442410 in words is "four billion, one hundred forty million, four hundred forty-two thousand, four hundred ten".