4213883124 has 72 divisors (see below), whose sum is σ = 11652863040. Its totient is φ = 1273334400.

The previous prime is 4213883123. The next prime is 4213883131.

It is a happy number.

4213883124 is a `hidden beast` number, since 421 + 38 + 83 + 124 = 666.

4213883124 is nontrivially palindromic in base 10.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4213883123) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 127344 + ... + 156984.

It is an arithmetic number, because the mean of its divisors is an integer number (161845320).

Almost surely, 2^4213883124 is an apocalyptic number.

4213883124 is a gapful number since it is divisible by the number (44) 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 4213883124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5826431520).

4213883124 is an abundant number, since it is smaller than the sum of its proper divisors (7438979916).

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

4213883124 is a wasteful number, since it uses less digits than its factorization.

4213883124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30021 (or 30016 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 4213883124 is about 64914.4292434278. The cubic root of 4213883124 is about 1615.2044233817.

The spelling of 4213883124 in words is "four billion, two hundred thirteen million, eight hundred eighty-three thousand, one hundred twenty-four".