8210412000 has 576 divisors, whose sum is σ = 34408378368. Its totient is φ = 1814400000.

The previous prime is 8210411971. The next prime is 8210412083. The reversal of 8210412000 is 2140128.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7811475 + ... + 7812525.

It is an arithmetic number, because the mean of its divisors is an integer number (59736768).

Almost surely, 2^8210412000 is an apocalyptic number.

8210412000 is a gapful number since it is divisible by the number (80) 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 8210412000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17204189184).

8210412000 is an abundant number, since it is smaller than the sum of its proper divisors (26197966368).

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

8210412000 is a wasteful number, since it uses less digits than its factorization.

8210412000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1120 (or 1099 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 8210412000 is about 90611.3237956493. The cubic root of 8210412000 is about 2017.3828145107.

Adding to 8210412000 its reverse (2140128), we get a palindrome (8212552128).

The spelling of 8210412000 in words is "eight billion, two hundred ten million, four hundred twelve thousand".