4013401334021 has 16 divisors (see below), whose sum is σ = 4627387051200. Its totient is φ = 3455115648768.

The previous prime is 4013401334009. The next prime is 4013401334057. The reversal of 4013401334021 is 1204331043104.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 4013401334021 - 2³⁰ = 4012327592197 is a prime.

It is a super-2 number, since 2×4013401334021² (a number of 26 digits) contains 22 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 (4013401333021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 214221515 + ... + 214240248.

It is an arithmetic number, because the mean of its divisors is an integer number (289211690700).

Almost surely, 2^{4013401334021} is an apocalyptic number.

It is an amenable number.

4013401334021 is a deficient number, since it is larger than the sum of its proper divisors (613985717179).

4013401334021 is a wasteful number, since it uses less digits than its factorization.

4013401334021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428461828.

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 4013401334021 its reverse (1204331043104), we get a palindrome (5217732377125).

The spelling of 4013401334021 in words is "four trillion, thirteen billion, four hundred one million, three hundred thirty-four thousand, twenty-one".