321204040004432 has 60 divisors (see below), whose sum is σ = 675096880437180. Its totient is φ = 147981863337984.

The previous prime is 321204040004423. The next prime is 321204040004569. The reversal of 321204040004432 is 234400040402123.

It can be written as a sum of positive squares in 6 ways, for example, as 69312351763216 + 251891688241216 = 8325404^2 + 15871096^2 .

It is a super-2 number, since 2×321204040004432² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 321204040004395 and 321204040004404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 105126257 + ... + 108138512.

It is an arithmetic number, because the mean of its divisors is an integer number (11251614673953).

Almost surely, 2^{321204040004432} is an apocalyptic number.

It is an amenable number.

321204040004432 is an abundant number, since it is smaller than the sum of its proper divisors (353892840432748).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

321204040004432 is a wasteful number, since it uses less digits than its factorization.

321204040004432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213265360 (or 213265341 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 29.

Adding to 321204040004432 its reverse (234400040402123), we get a palindrome (555604080406555).

The spelling of 321204040004432 in words is "three hundred twenty-one trillion, two hundred four billion, forty million, four thousand, four hundred thirty-two".