4222024128 has 112 divisors (see below), whose sum is σ = 14185148160. Its totient is φ = 1206289152.

The previous prime is 4222024127. The next prime is 4222024153. The reversal of 4222024128 is 8214202224.

4222024128 is a `hidden beast` number, since 42 + 2 + 202 + 412 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4222024127) 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 15 ways as a sum of consecutive naturals, for example, 162426 + ... + 186617.

Almost surely, 2^4222024128 is an apocalyptic number.

4222024128 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4222024128 is an abundant number, since it is smaller than the sum of its proper divisors (9963124032).

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

4222024128 is a wasteful number, since it uses less digits than its factorization.

4222024128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349071 (or 349055 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

The square root of 4222024128 is about 64977.1046446362. The cubic root of 4222024128 is about 1616.2439180223.

The spelling of 4222024128 in words is "four billion, two hundred twenty-two million, twenty-four thousand, one hundred twenty-eight".