321404432323401 has 18 divisors (see below), whose sum is σ = 540046903292442. Its totient is φ = 183659675613120.

The previous prime is 321404432323363. The next prime is 321404432323421. The reversal of 321404432323401 is 104323234404123.

321404432323401 is a `hidden beast` number, since 3 + 2 + 1 + 40 + 4 + 43 + 232 + 340 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 245423556000000 + 75980876323401 = 15666000^2 + 8716701^2 .

It is not a de Polignac number, because 321404432323401 - 2¹³ = 321404432315209 is a prime.

It is not an unprimeable number, because it can be changed into a prime (321404432323421) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 364404117840 + ... + 364404118721.

It is an arithmetic number, because the mean of its divisors is an integer number (30002605738469).

Almost surely, 2^{321404432323401} is an apocalyptic number.

It is an amenable number.

321404432323401 is a deficient number, since it is larger than the sum of its proper divisors (218642470969041).

321404432323401 is a wasteful number, since it uses less digits than its factorization.

321404432323401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 728808236581 (or 728808236571 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 321404432323401 its reverse (104323234404123), we get a palindrome (425727666727524).

The spelling of 321404432323401 in words is "three hundred twenty-one trillion, four hundred four billion, four hundred thirty-two million, three hundred twenty-three thousand, four hundred one".