8121434160 has 320 divisors, whose sum is σ = 29702098944. Its totient is φ = 1797120000.

The previous prime is 8121434147. The next prime is 8121434183. The reversal of 8121434160 is 614341218.

It is a Cunningham number, because it is equal to 90119²-1.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10813785 + ... + 10814535.

Almost surely, 2^8121434160 is an apocalyptic number.

8121434160 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 8121434160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14851049472).

8121434160 is an abundant number, since it is smaller than the sum of its proper divisors (21580664784).

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

8121434160 is a wasteful number, since it uses less digits than its factorization.

8121434160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 972 (or 966 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 8121434160 is about 90118.9999944518. Note that the first 5 decimals coincide. The cubic root of 8121434160 is about 2010.0687385220.

Adding to 8121434160 its reverse (614341218), we get a palindrome (8735775378).

The spelling of 8121434160 in words is "eight billion, one hundred twenty-one million, four hundred thirty-four thousand, one hundred sixty".