321410220010040 has 64 divisors (see below), whose sum is σ = 834666427143360. Its totient is φ = 109106722483200.

The previous prime is 321410220010027. The next prime is 321410220010057. The reversal of 321410220010040 is 40010022014123.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 321410220009994 and 321410220010021.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 5682613517 + ... + 5682670076.

It is an arithmetic number, because the mean of its divisors is an integer number (13041662924115).

Almost surely, 2^{321410220010040} is an apocalyptic number.

It is an amenable number.

321410220010040 is an abundant number, since it is smaller than the sum of its proper divisors (513256207133320).

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

321410220010040 is a wasteful number, since it uses less digits than its factorization.

321410220010040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11365283712 (or 11365283708 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 321410220010040 its reverse (40010022014123), we get a palindrome (361420242024163).

The spelling of 321410220010040 in words is "three hundred twenty-one trillion, four hundred ten billion, two hundred twenty million, ten thousand, forty".