4140120432 has 320 divisors, whose sum is σ = 13548847104. Its totient is φ = 1062236160.

The previous prime is 4140120419. The next prime is 4140120433. The reversal of 4140120432 is 2340210414.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 4140120399 and 4140120408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4140120433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18238303 + ... + 18238529.

Almost surely, 2^4140120432 is an apocalyptic number.

4140120432 is a gapful number since it is divisible by the number (42) 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 4140120432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6774423552).

4140120432 is an abundant number, since it is smaller than the sum of its proper divisors (9408726672).

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

4140120432 is a wasteful number, since it uses less digits than its factorization.

4140120432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 4140120432 is about 64343.7676236013. The cubic root of 4140120432 is about 1605.7243434254.

Adding to 4140120432 its reverse (2340210414), we get a palindrome (6480330846).

The spelling of 4140120432 in words is "four billion, one hundred forty million, one hundred twenty thousand, four hundred thirty-two".