8410000840 has 64 divisors (see below), whose sum is σ = 19456038000. Its totient is φ = 3269357568.

The previous prime is 8410000801. The next prime is 8410000847. The reversal of 8410000840 is 480000148.

It can be written as a sum of positive squares in 8 ways, for example, as 5417254404 + 2992746436 = 73602^2 + 54706^2 .

It is a super-2 number, since 2×8410000840² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (8410000847) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1549812 + ... + 1555228.

Almost surely, 2^8410000840 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 8410000840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9728019000).

8410000840 is an abundant number, since it is smaller than the sum of its proper divisors (11046037160).

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

8410000840 is a wasteful number, since it uses less digits than its factorization.

8410000840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6514 (or 6510 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 25.

The square root of 8410000840 is about 91706.0567247333. The cubic root of 8410000840 is about 2033.5991252179.

Adding to 8410000840 its reverse (480000148), we get a palindrome (8890000988).

The spelling of 8410000840 in words is "eight billion, four hundred ten million, eight hundred forty", and thus it is an aban number.