4122795680 has 48 divisors (see below), whose sum is σ = 9744049224. Its totient is φ = 1648450560.

The previous prime is 4122795637. The next prime is 4122795689. The reversal of 4122795680 is 865972214.

It is a happy number.

It is a Cunningham number, because it is equal to 64209²-1.

It can be written as a sum of positive squares in 4 ways, for example, as 3517438864 + 605356816 = 59308^2 + 24604^2 .

It is not an unprimeable number, because it can be changed into a prime (4122795689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 638870 + ... + 645290.

Almost surely, 2^4122795680 is an apocalyptic number.

4122795680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4122795680 is an abundant number, since it is smaller than the sum of its proper divisors (5621253544).

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

4122795680 is a wasteful number, since it uses less digits than its factorization.

4122795680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10449 (or 10441 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 44.

The square root of 4122795680 is about 64208.9999922129. Note that the first 5 decimals coincide. The cubic root of 4122795680 is about 1603.4814400734.

The spelling of 4122795680 in words is "four billion, one hundred twenty-two million, seven hundred ninety-five thousand, six hundred eighty".