8141128320 has 256 divisors, whose sum is σ = 28409431680. Its totient is φ = 1970749440.

The previous prime is 8141128319. The next prime is 8141128321. The reversal of 8141128320 is 238211418.

It is an interprime number because it is at equal distance from previous prime (8141128319) and next prime (8141128321).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (8141128321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1519887 + ... + 1525233.

Almost surely, 2^8141128320 is an apocalyptic number.

8141128320 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 8141128320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14204715840).

8141128320 is an abundant number, since it is smaller than the sum of its proper divisors (20268303360).

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

8141128320 is a wasteful number, since it uses less digits than its factorization.

8141128320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5443 (or 5431 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 8141128320 is about 90228.2013563387. The cubic root of 8141128320 is about 2011.6922062882.

Adding to 8141128320 its reverse (238211418), we get a palindrome (8379339738).

The spelling of 8141128320 in words is "eight billion, one hundred forty-one million, one hundred twenty-eight thousand, three hundred twenty".