4214334124 has 48 divisors (see below), whose sum is σ = 9902221056. Its totient is φ = 1515643200.

The previous prime is 4214334109. The next prime is 4214334139.

4214334124 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (4214334109) and next prime (4214334139).

It is a super-2 number, since 2×4214334124² = 35521224217421694752, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 4214334092 and 4214334101.

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 15 ways as a sum of consecutive naturals, for example, 522262 + ... + 530269.

It is an arithmetic number, because the mean of its divisors is an integer number (206296272).

Almost surely, 2^4214334124 is an apocalyptic number.

4214334124 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4214334124 is an abundant number, since it is smaller than the sum of its proper divisors (5687886932).

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

4214334124 is a wasteful number, since it uses less digits than its factorization.

4214334124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1052566 (or 1052564 counting only the distinct ones).

The product of its digits is 9216, while the sum is 28.

The square root of 4214334124 is about 64917.9029544239. The cubic root of 4214334124 is about 1615.2620449140.

It can be divided in two parts, 42143 and 34124, that added together give a palindrome (76267).

The spelling of 4214334124 in words is "four billion, two hundred fourteen million, three hundred thirty-four thousand, one hundred twenty-four".