4214224124 has 48 divisors (see below), whose sum is σ = 8098919136. Its totient is φ = 1902854400.

The previous prime is 4214224123. The next prime is 4214224153.

It is a happy number.

4214224124 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 4214224093 and 4214224102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4214224123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7565654 + ... + 7566210.

It is an arithmetic number, because the mean of its divisors is an integer number (168727482).

Almost surely, 2^4214224124 is an apocalyptic number.

4214224124 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4214224124 is a deficient number, since it is larger than the sum of its proper divisors (3884695012).

4214224124 is a wasteful number, since it uses less digits than its factorization.

4214224124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1406 (or 1404 counting only the distinct ones).

The product of its digits is 4096, while the sum is 26.

The square root of 4214224124 is about 64917.0557249788. The cubic root of 4214224124 is about 1615.2479912608.

It can be divided in two parts, 42142 and 24124, that added together give a palindrome (66266).

The spelling of 4214224124 in words is "four billion, two hundred fourteen million, two hundred twenty-four thousand, one hundred twenty-four".