4140504324 has 144 divisors (see below), whose sum is σ = 11977873600. Its totient is φ = 1235710080.

The previous prime is 4140504317. The next prime is 4140504337. The reversal of 4140504324 is 4234050414.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 873192 + ... + 877920.

Almost surely, 2^4140504324 is an apocalyptic number.

4140504324 is a gapful number since it is divisible by the number (44) 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 4140504324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5988936800).

4140504324 is an abundant number, since it is smaller than the sum of its proper divisors (7837369276).

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

4140504324 is a wasteful number, since it uses less digits than its factorization.

4140504324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4831 (or 4812 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 4140504324 is about 64346.7506871948. The cubic root of 4140504324 is about 1605.7739720685.

Adding to 4140504324 its reverse (4234050414), we get a palindrome (8374554738).

The spelling of 4140504324 in words is "four billion, one hundred forty million, five hundred four thousand, three hundred twenty-four".