320202100041040 has 320 divisors, whose sum is σ = 886045149480960. Its totient is φ = 105325350174720.

The previous prime is 320202100041011. The next prime is 320202100041049. The reversal of 320202100041040 is 40140001202023.

It is a junction number, because it is equal to n+sod(n) for n = 320202100040999 and 320202100041017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320202100041049) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1245537154 + ... + 1245794206.

It is an arithmetic number, because the mean of its divisors is an integer number (2768891092128).

Almost surely, 2^{320202100041040} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 320202100041040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443022574740480).

320202100041040 is an abundant number, since it is smaller than the sum of its proper divisors (565843049439920).

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

320202100041040 is a wasteful number, since it uses less digits than its factorization.

320202100041040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257950 (or 257944 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 320202100041040 its reverse (40140001202023), we get a palindrome (360342101243063).

The spelling of 320202100041040 in words is "three hundred twenty trillion, two hundred two billion, one hundred million, forty-one thousand, forty".