4021441412013 has 64 divisors (see below), whose sum is σ = 6058400486400. Its totient is φ = 2636130562560.

The previous prime is 4021441411997. The next prime is 4021441412041. The reversal of 4021441412013 is 3102141441204.

4021441412013 is a `hidden beast` number, since 4 + 0 + 214 + 414 + 1 + 20 + 13 = 666.

4021441412013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 4021441412013 - 2⁴ = 4021441411997 is a prime.

It is a super-3 number, since 3×4021441412013³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4021441412083) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 173408623 + ... + 173431811.

It is an arithmetic number, because the mean of its divisors is an integer number (94662507600).

Almost surely, 2^{4021441412013} is an apocalyptic number.

It is an amenable number.

4021441412013 is a deficient number, since it is larger than the sum of its proper divisors (2036959074387).

4021441412013 is a wasteful number, since it uses less digits than its factorization.

4021441412013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23779 (or 23773 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 4021441412013 its reverse (3102141441204), we get a palindrome (7123582853217).

The spelling of 4021441412013 in words is "four trillion, twenty-one billion, four hundred forty-one million, four hundred twelve thousand, thirteen".