4140242320 has 40 divisors (see below), whose sum is σ = 9860853240. Its totient is φ = 1615703040.

The previous prime is 4140242311. The next prime is 4140242321. The reversal of 4140242320 is 232420414.

It is a happy number.

4140242320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 383533056 + 3756709264 = 19584^2 + 61292^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 4140242291 and 4140242300.

It is not an unprimeable number, because it can be changed into a prime (4140242321) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 627855 + ... + 634414.

It is an arithmetic number, because the mean of its divisors is an integer number (246521331).

Almost surely, 2^4140242320 is an apocalyptic number.

4140242320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4140242320 is an abundant number, since it is smaller than the sum of its proper divisors (5720610920).

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

4140242320 is a wasteful number, since it uses less digits than its factorization.

4140242320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1262323 (or 1262317 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 4140242320 is about 64344.7147790710. The cubic root of 4140242320 is about 1605.7401011481.

Adding to 4140242320 its reverse (232420414), we get a palindrome (4372662734).

The spelling of 4140242320 in words is "four billion, one hundred forty million, two hundred forty-two thousand, three hundred twenty".