4022641728 has 168 divisors, whose sum is σ = 13952719872. Its totient is φ = 1081700352.

The previous prime is 4022641717. The next prime is 4022641757. The reversal of 4022641728 is 8271462204.

4022641728 is a `hidden beast` number, since 4 + 0 + 2 + 2 + 641 + 7 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

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

It is a junction number, because it is equal to n+sod(n) for n = 4022641692 and 4022641701.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39201 + ... + 97887.

It is an arithmetic number, because the mean of its divisors is an integer number (83051904).

Almost surely, 2^4022641728 is an apocalyptic number.

4022641728 is a gapful number since it is divisible by the number (48) 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 4022641728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6976359936).

4022641728 is an abundant number, since it is smaller than the sum of its proper divisors (9930078144).

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

4022641728 is a wasteful number, since it uses less digits than its factorization.

4022641728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58729 (or 58716 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 4022641728 is about 63424.2991920289. The cubic root of 4022641728 is about 1590.3905436756.

The spelling of 4022641728 in words is "four billion, twenty-two million, six hundred forty-one thousand, seven hundred twenty-eight".