8414121680 has 160 divisors (see below), whose sum is σ = 20956658688. Its totient is φ = 3136204800.

The previous prime is 8414121679. The next prime is 8414121701. The reversal of 8414121680 is 861214148.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 8414121680.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8438942 + ... + 8439938.

Almost surely, 2^8414121680 is an apocalyptic number.

8414121680 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 8414121680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10478329344).

8414121680 is an abundant number, since it is smaller than the sum of its proper divisors (12542537008).

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

8414121680 is a wasteful number, since it uses less digits than its factorization.

8414121680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1165 (or 1159 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 35.

The square root of 8414121680 is about 91728.5216276813. The cubic root of 8414121680 is about 2033.9312206368.

The spelling of 8414121680 in words is "eight billion, four hundred fourteen million, one hundred twenty-one thousand, six hundred eighty".