4013004314421 has 48 divisors (see below), whose sum is σ = 6065817226560. Its totient is φ = 2651061208320.

The previous prime is 4013004314399. The next prime is 4013004314441. The reversal of 4013004314421 is 1244134003104.

4013004314421 is a `hidden beast` number, since 4 + 0 + 1 + 300 + 4 + 314 + 42 + 1 = 666.

4013004314421 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 4013004314421 - 2⁶ = 4013004314357 is a prime.

It is a super-2 number, since 2×4013004314421² (a number of 26 digits) contains 22 as substring.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4013004314441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 144447910 + ... + 144475688.

It is an arithmetic number, because the mean of its divisors is an integer number (126371192220).

Almost surely, 2^{4013004314421} is an apocalyptic number.

It is an amenable number.

4013004314421 is a deficient number, since it is larger than the sum of its proper divisors (2052812912139).

4013004314421 is a wasteful number, since it uses less digits than its factorization.

4013004314421 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33168 (or 33156 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 4013004314421 its reverse (1244134003104), we get a palindrome (5257138317525).

The spelling of 4013004314421 in words is "four trillion, thirteen billion, four million, three hundred fourteen thousand, four hundred twenty-one".