8414727181920 has 288 divisors, whose sum is σ = 29652907624704. Its totient is φ = 2170710835200.

The previous prime is 8414727181901. The next prime is 8414727181961. The reversal of 8414727181920 is 291817274148.

8414727181920 is a `hidden beast` number, since 8 + 4 + 1 + 472 + 7 + 1 + 81 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×8414727181920² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 121073580 + ... + 121143060.

It is an arithmetic number, because the mean of its divisors is an integer number (102961484808).

Almost surely, 2^{8414727181920} is an apocalyptic number.

8414727181920 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 8414727181920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14826453812352).

8414727181920 is an abundant number, since it is smaller than the sum of its proper divisors (21238180442784).

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

8414727181920 is a wasteful number, since it uses less digits than its factorization.

8414727181920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72246 (or 72235 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 54.

The spelling of 8414727181920 in words is "eight trillion, four hundred fourteen billion, seven hundred twenty-seven million, one hundred eighty-one thousand, nine hundred twenty".