321211002134440 has 128 divisors (see below), whose sum is σ = 789057065502720. Its totient is φ = 116710676409600.

The previous prime is 321211002134431. The next prime is 321211002134441. The reversal of 321211002134440 is 44431200112123.

It is a happy number.

It is a super-2 number, since 2×321211002134440² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 321211002134399 and 321211002134408.

It is not an unprimeable number, because it can be changed into a prime (321211002134441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7532539759 + ... + 7532582401.

It is an arithmetic number, because the mean of its divisors is an integer number (6164508324240).

Almost surely, 2^{321211002134440} is an apocalyptic number.

It is an amenable number.

321211002134440 is an abundant number, since it is smaller than the sum of its proper divisors (467846063368280).

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

321211002134440 is a wasteful number, since it uses less digits than its factorization.

321211002134440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55943 (or 55939 counting only the distinct ones).

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

Adding to 321211002134440 its reverse (44431200112123), we get a palindrome (365642202246563).

The spelling of 321211002134440 in words is "three hundred twenty-one trillion, two hundred eleven billion, two million, one hundred thirty-four thousand, four hundred forty".