321431120241040 has 20 divisors (see below), whose sum is σ = 747327354560604. Its totient is φ = 128572448096384.

The previous prime is 321431120240977. The next prime is 321431120241043. The reversal of 321431120241040 is 40142021134123.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 35368426602496 + 286062693638544 = 5947136^2 + 16913388^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is not an unprimeable number, because it can be changed into a prime (321431120241043) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2008944501427 + ... + 2008944501586.

Almost surely, 2^{321431120241040} is an apocalyptic number.

It is an amenable number.

321431120241040 is an abundant number, since it is smaller than the sum of its proper divisors (425896234319564).

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

321431120241040 is a wasteful number, since it uses less digits than its factorization.

321431120241040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4017889003026 (or 4017889003020 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 321431120241040 its reverse (40142021134123), we get a palindrome (361573141375163).

The spelling of 321431120241040 in words is "three hundred twenty-one trillion, four hundred thirty-one billion, one hundred twenty million, two hundred forty-one thousand, forty".