4140332013 has 16 divisors (see below), whose sum is σ = 5652179456. Its totient is φ = 2694429360.

The previous prime is 4140332011. The next prime is 4140332023. The reversal of 4140332013 is 3102330414.

4140332013 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 4140332013 - 2¹ = 4140332011 is a prime.

It is a super-4 number, since 4×4140332013⁴ (a number of 40 digits) contains 4444 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4140332011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 232248 + ... + 249438.

It is an arithmetic number, because the mean of its divisors is an integer number (353261216).

Almost surely, 2^4140332013 is an apocalyptic number.

4140332013 is a gapful number since it is divisible by the number (43) formed by its first and last digit.

It is an amenable number.

4140332013 is a deficient number, since it is larger than the sum of its proper divisors (1511847443).

4140332013 is a wasteful number, since it uses less digits than its factorization.

4140332013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19104.

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 4140332013 is about 64345.4117478473. The cubic root of 4140332013 is about 1605.7516964925.

Adding to 4140332013 its reverse (3102330414), we get a palindrome (7242662427).

The spelling of 4140332013 in words is "four billion, one hundred forty million, three hundred thirty-two thousand, thirteen".