4140424320 has 256 divisors, whose sum is σ = 13674528000. Its totient is φ = 1064779776.

The previous prime is 4140424303. The next prime is 4140424333. The reversal of 4140424320 is 234240414.

It is a happy number.

4140424320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×4140424320² = 34286227099294924800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11863506 + ... + 11863854.

It is an arithmetic number, because the mean of its divisors is an integer number (53416125).

Almost surely, 2^4140424320 is an apocalyptic number.

4140424320 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 4140424320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6837264000).

4140424320 is an abundant number, since it is smaller than the sum of its proper divisors (9534103680).

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

4140424320 is a wasteful number, since it uses less digits than its factorization.

4140424320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 575 (or 563 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 4140424320 is about 64346.1290210996. The cubic root of 4140424320 is about 1605.7636295951.

Adding to 4140424320 its reverse (234240414), we get a palindrome (4374664734).

The spelling of 4140424320 in words is "four billion, one hundred forty million, four hundred twenty-four thousand, three hundred twenty".