4414041324 has 288 divisors, whose sum is σ = 14635192320. Its totient is φ = 1137628800.

The previous prime is 4414041319. The next prime is 4414041329. The reversal of 4414041324 is 4231404144.

It is an interprime number because it is at equal distance from previous prime (4414041319) and next prime (4414041329).

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

It is not an unprimeable number, because it can be changed into a prime (4414041329) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11118294 + ... + 11118690.

It is an arithmetic number, because the mean of its divisors is an integer number (50816640).

Almost surely, 2^4414041324 is an apocalyptic number.

4414041324 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 4414041324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7317596160).

4414041324 is an abundant number, since it is smaller than the sum of its proper divisors (10221150996).

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

4414041324 is a wasteful number, since it uses less digits than its factorization.

4414041324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 626 (or 611 counting only the distinct ones).

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

The square root of 4414041324 is about 66438.2519637596. The cubic root of 4414041324 is about 1640.3837744537.

Adding to 4414041324 its reverse (4231404144), we get a palindrome (8645445468).

The spelling of 4414041324 in words is "four billion, four hundred fourteen million, forty-one thousand, three hundred twenty-four".