321042221233040 has 40 divisors (see below), whose sum is σ = 790330409332920. Its totient is φ = 120862953875456.

The previous prime is 321042221233037. The next prime is 321042221233043. The reversal of 321042221233040 is 40332122240123.

It is an interprime number because it is at equal distance from previous prime (321042221233037) and next prime (321042221233043).

It can be written as a sum of positive squares in 4 ways, for example, as 12085245715456 + 308956975517584 = 3476384^2 + 17577172^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 321042221232994 and 321042221233012.

It is not an unprimeable number, because it can be changed into a prime (321042221233043) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 118030227035 + ... + 118030229754.

It is an arithmetic number, because the mean of its divisors is an integer number (19758260233323).

Almost surely, 2^{321042221233040} is an apocalyptic number.

It is an amenable number.

321042221233040 is an abundant number, since it is smaller than the sum of its proper divisors (469288188099880).

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

321042221233040 is a wasteful number, since it uses less digits than its factorization.

321042221233040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236060456819 (or 236060456813 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 321042221233040 its reverse (40332122240123), we get a palindrome (361374343473163).

The spelling of 321042221233040 in words is "three hundred twenty-one trillion, forty-two billion, two hundred twenty-one million, two hundred thirty-three thousand, forty".