4122283776 has 288 divisors, whose sum is σ = 12856596480. Its totient is φ = 1161216000.

The previous prime is 4122283771. The next prime is 4122283799. The reversal of 4122283776 is 6773822214.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4122283771) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5880226 + ... + 5880926.

It is an arithmetic number, because the mean of its divisors is an integer number (44640960).

Almost surely, 2^4122283776 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 4122283776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6428298240).

4122283776 is an abundant number, since it is smaller than the sum of its proper divisors (8734312704).

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

4122283776 is a wasteful number, since it uses less digits than its factorization.

4122283776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 783 (or 769 counting only the distinct ones).

The product of its digits is 225792, while the sum is 42.

The square root of 4122283776 is about 64205.0136360082. The cubic root of 4122283776 is about 1603.4150722814.

The spelling of 4122283776 in words is "four billion, one hundred twenty-two million, two hundred eighty-three thousand, seven hundred seventy-six".