321214134443040 has 72 divisors (see below), whose sum is σ = 1096143233791788. Its totient is φ = 85657102517760.

The previous prime is 321214134443017. The next prime is 321214134443047. The reversal of 321214134443040 is 40344431412123.

321214134443040 is a `hidden beast` number, since 3 + 2 + 1 + 2 + 1 + 4 + 1 + 344 + 4 + 304 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 317196242480016 + 4017891963024 = 17810004^2 + 2004468^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 321214134442986 and 321214134443004.

It is not an unprimeable number, because it can be changed into a prime (321214134443047) 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 11 ways as a sum of consecutive naturals, for example, 111532684131 + ... + 111532687010.

Almost surely, 2^{321214134443040} is an apocalyptic number.

321214134443040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

321214134443040 is an abundant number, since it is smaller than the sum of its proper divisors (774929099348748).

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

321214134443040 is a wasteful number, since it uses less digits than its factorization.

321214134443040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223065371162 (or 223065371151 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 321214134443040 its reverse (40344431412123), we get a palindrome (361558565855163).

The spelling of 321214134443040 in words is "three hundred twenty-one trillion, two hundred fourteen billion, one hundred thirty-four million, four hundred forty-three thousand, forty".