410201321000000 has 196 divisors, whose sum is σ = 1024307621116500. Its totient is φ = 162979257600000.

The previous prime is 410201320999969. The next prime is 410201321000011. The reversal of 410201321000000 is 123102014.

It can be written as a sum of positive squares in 14 ways, for example, as 244049633479744 + 166151687520256 = 15622088^2 + 12889984^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 147623486 + ... + 150376514.

Almost surely, 2^{410201321000000} is an apocalyptic number.

410201321000000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 410201321000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512153810558250).

410201321000000 is an abundant number, since it is smaller than the sum of its proper divisors (614106300116500).

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

410201321000000 is an frugal number, since it uses more digits than its factorization.

410201321000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2753220 (or 2753185 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 410201321000000 its reverse (123102014), we get a palindrome (410201444102014).

The spelling of 410201321000000 in words is "four hundred ten trillion, two hundred one billion, three hundred twenty-one million", and thus it is an aban number.