4014444324 has 192 divisors, whose sum is σ = 10884464640. Its totient is φ = 1140480000.

The previous prime is 4014444307. The next prime is 4014444331. The reversal of 4014444324 is 4234444104.

It is a super-2 number, since 2×4014444324² = 32231526460991633952, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4014444291 and 4014444300.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26585649 + ... + 26585799.

It is an arithmetic number, because the mean of its divisors is an integer number (56689920).

Almost surely, 2^4014444324 is an apocalyptic number.

4014444324 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 4014444324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5442232320).

4014444324 is an abundant number, since it is smaller than the sum of its proper divisors (6870020316).

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

4014444324 is a wasteful number, since it uses less digits than its factorization.

4014444324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 30.

The square root of 4014444324 is about 63359.6427073259. The cubic root of 4014444324 is about 1589.3095012127.

Adding to 4014444324 its reverse (4234444104), we get a palindrome (8248888428).

The spelling of 4014444324 in words is "four billion, fourteen million, four hundred forty-four thousand, three hundred twenty-four".