4140122013 has 48 divisors (see below), whose sum is σ = 6562363392. Its totient is φ = 2503872000.

The previous prime is 4140122011. The next prime is 4140122017. The reversal of 4140122013 is 3102210414.

4140122013 is a `hidden beast` number, since 41 + 401 + 220 + 1 + 3 = 666.

It is not a de Polignac number, because 4140122013 - 2¹ = 4140122011 is a prime.

It is a super-2 number, since 2×4140122013² = 34281220565054344338, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4140122011) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1283743 + ... + 1286963.

It is an arithmetic number, because the mean of its divisors is an integer number (136715904).

Almost surely, 2^4140122013 is an apocalyptic number.

It is an amenable number.

4140122013 is a deficient number, since it is larger than the sum of its proper divisors (2422241379).

4140122013 is a wasteful number, since it uses less digits than its factorization.

4140122013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3546 (or 3543 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 4140122013 is about 64343.7799091723. The cubic root of 4140122013 is about 1605.7245478196.

Adding to 4140122013 its reverse (3102210414), we get a palindrome (7242332427).

It can be divided in two parts, 414012 and 2013, that added together give a square (416025 = 645²).

The spelling of 4140122013 in words is "four billion, one hundred forty million, one hundred twenty-two thousand, thirteen".