4124440314 has 96 divisors (see below), whose sum is σ = 9578088000. Its totient is φ = 1278934272.

The previous prime is 4124440289. The next prime is 4124440321. The reversal of 4124440314 is 4130444214.

4124440314 is a `hidden beast` number, since 4 + 1 + 244 + 403 + 14 = 666.

It is a super-4 number, since 4×4124440314⁴ (a number of 40 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 5448024 + ... + 5448780.

It is an arithmetic number, because the mean of its divisors is an integer number (99771750).

Almost surely, 2^4124440314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4124440314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4789044000).

4124440314 is an abundant number, since it is smaller than the sum of its proper divisors (5453647686).

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

4124440314 is a wasteful number, since it uses less digits than its factorization.

4124440314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1052 (or 1049 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 4124440314 is about 64221.8055959189. The cubic root of 4124440314 is about 1603.6946278966.

Adding to 4124440314 its reverse (4130444214), we get a palindrome (8254884528).

The spelling of 4124440314 in words is "four billion, one hundred twenty-four million, four hundred forty thousand, three hundred fourteen".