410020641000000 has 588 divisors, whose sum is σ = 1469642700442020. Its totient is φ = 109294272000000.

The previous prime is 410020640999989. The next prime is 410020641000007. The reversal of 410020641000000 is 146020014.

410020641000000 is a `hidden beast` number, since 4 + 1 + 0 + 0 + 20 + 641 + 0 + 0 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 14 ways, for example, as 403621279147584 + 6399361852416 = 20090328^2 + 2529696^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (410020641000007) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 26180992170 + ... + 26181007830.

Almost surely, 2^{410020641000000} is an apocalyptic number.

410020641000000 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 410020641000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (734821350221010).

410020641000000 is an abundant number, since it is smaller than the sum of its proper divisors (1059622059442020).

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

410020641000000 is an equidigital number, since it uses as much as digits as its factorization.

410020641000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18618 (or 18580 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 410020641000000 its reverse (146020014), we get a palindrome (410020787020014).

The spelling of 410020641000000 in words is "four hundred ten trillion, twenty billion, six hundred forty-one million", and thus it is an aban number.