4121812656 has 480 divisors, whose sum is σ = 14067224640. Its totient is φ = 1164533760.

The previous prime is 4121812649. The next prime is 4121812657. The reversal of 4121812656 is 6562181214.

It is a happy number.

4121812656 is a `hidden beast` number, since 412 + 181 + 2 + 65 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 4121812656.

It is not an unprimeable number, because it can be changed into a prime (4121812657) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 100531996 + ... + 100532036.

It is an arithmetic number, because the mean of its divisors is an integer number (29306718).

Almost surely, 2^4121812656 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 4121812656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7033612320).

4121812656 is an abundant number, since it is smaller than the sum of its proper divisors (9945411984).

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

4121812656 is a wasteful number, since it uses less digits than its factorization.

4121812656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 76 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 4121812656 is about 64201.3446588154. The cubic root of 4121812656 is about 1603.3539872350.

The spelling of 4121812656 in words is "four billion, one hundred twenty-one million, eight hundred twelve thousand, six hundred fifty-six".