8201281410 has 144 divisors (see below), whose sum is σ = 26110468800. Its totient is φ = 1775898432.

The previous prime is 8201281379. The next prime is 8201281441. The reversal of 8201281410 is 141821028.

It is an interprime number because it is at equal distance from previous prime (8201281379) and next prime (8201281441).

It is a super-2 number, since 2×8201281410² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 34851 + ... + 132729.

It is an arithmetic number, because the mean of its divisors is an integer number (181322700).

Almost surely, 2^8201281410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8201281410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13055234400).

8201281410 is an abundant number, since it is smaller than the sum of its proper divisors (17909187390).

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

8201281410 is a wasteful number, since it uses less digits than its factorization.

8201281410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97925 (or 97915 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The square root of 8201281410 is about 90560.9265080697. The cubic root of 8201281410 is about 2016.6347104499.

The spelling of 8201281410 in words is "eight billion, two hundred one million, two hundred eighty-one thousand, four hundred ten".