4022077752 has 288 divisors, whose sum is σ = 13840575840. Its totient is φ = 1032768000.

The previous prime is 4022077723. The next prime is 4022077769. The reversal of 4022077752 is 2577702204.

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 71 ways as a sum of consecutive naturals, for example, 6159058 + ... + 6159710.

It is an arithmetic number, because the mean of its divisors is an integer number (48057555).

Almost surely, 2^4022077752 is an apocalyptic number.

4022077752 is a gapful number since it is divisible by the number (42) 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 4022077752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6920287920).

4022077752 is an abundant number, since it is smaller than the sum of its proper divisors (9818498088).

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

4022077752 is a wasteful number, since it uses less digits than its factorization.

4022077752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 795 (or 777 counting only the distinct ones).

The product of its (nonzero) digits is 54880, while the sum is 36.

The square root of 4022077752 is about 63419.8529799620. The cubic root of 4022077752 is about 1590.3162157358.

Adding to 4022077752 its reverse (2577702204), we get a palindrome (6599779956).

The spelling of 4022077752 in words is "four billion, twenty-two million, seventy-seven thousand, seven hundred fifty-two".