4142236240 has 80 divisors (see below), whose sum is σ = 9753656976. Its totient is φ = 1635840000.

The previous prime is 4142236211. The next prime is 4142236297. The reversal of 4142236240 is 426322414.

It can be written as a sum of positive squares in 8 ways, for example, as 78428736 + 4063807504 = 8856^2 + 63748^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 4142236199 and 4142236208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4855654 + ... + 4856506.

Almost surely, 2^4142236240 is an apocalyptic number.

4142236240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4142236240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4876828488).

4142236240 is an abundant number, since it is smaller than the sum of its proper divisors (5611420736).

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

4142236240 is a wasteful number, since it uses less digits than its factorization.

4142236240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1568 (or 1562 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

The square root of 4142236240 is about 64360.2069605125. The cubic root of 4142236240 is about 1605.9978319132.

Adding to 4142236240 its reverse (426322414), we get a palindrome (4568558654).

The spelling of 4142236240 in words is "four billion, one hundred forty-two million, two hundred thirty-six thousand, two hundred forty".