320420414000401 has 16 divisors (see below), whose sum is σ = 376463556766080. Its totient is φ = 268865986446720.

The previous prime is 320420414000353. The next prime is 320420414000459. The reversal of 320420414000401 is 104000414024023.

It is not a de Polignac number, because 320420414000401 - 2⁴¹ = 318221390744849 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (320420414000461) 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 15 ways as a sum of consecutive naturals, for example, 74043061 + ... + 78250978.

It is an arithmetic number, because the mean of its divisors is an integer number (23528972297880).

Almost surely, 2^{320420414000401} is an apocalyptic number.

It is an amenable number.

320420414000401 is a deficient number, since it is larger than the sum of its proper divisors (56043142765679).

320420414000401 is a wasteful number, since it uses less digits than its factorization.

320420414000401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152308776.

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 320420414000401 its reverse (104000414024023), we get a palindrome (424420828024424).

The spelling of 320420414000401 in words is "three hundred twenty trillion, four hundred twenty billion, four hundred fourteen million, four hundred one", and thus it is an aban number.