8241416820 has 864 divisors, whose sum is σ = 34347196800. Its totient is φ = 1630347264.

The previous prime is 8241416797. The next prime is 8241416831. The reversal of 8241416820 is 286141428.

8241416820 is a `hidden beast` number, since 82 + 414 + 168 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 287 ways as a sum of consecutive naturals, for example, 84963012 + ... + 84963108.

It is an arithmetic number, because the mean of its divisors is an integer number (39753700).

Almost surely, 2^8241416820 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 8241416820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17173598400).

8241416820 is an abundant number, since it is smaller than the sum of its proper divisors (26105779980).

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

8241416820 is a wasteful number, since it uses less digits than its factorization.

8241416820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 8241416820 is about 90782.2494764257. The cubic root of 8241416820 is about 2019.9190259342.

The spelling of 8241416820 in words is "eight billion, two hundred forty-one million, four hundred sixteen thousand, eight hundred twenty".