4024838440 has 72 divisors (see below), whose sum is σ = 10541754990. Its totient is φ = 1378981632.

The previous prime is 4024838437. The next prime is 4024838527. The reversal of 4024838440 is 448384204.

It can be written as a sum of positive squares in 3 ways, for example, as 3981357604 + 43480836 = 63098^2 + 6594^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 4024838440.

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 17 ways as a sum of consecutive naturals, for example, 2807964 + ... + 2809396.

Almost surely, 2^4024838440 is an apocalyptic number.

4024838440 is a gapful number since it is divisible by the number (40) 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 4024838440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5270877495).

4024838440 is an abundant number, since it is smaller than the sum of its proper divisors (6516916550).

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

4024838440 is an equidigital number, since it uses as much as digits as its factorization.

4024838440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2891 (or 1447 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 37.

The square root of 4024838440 is about 63441.6144182980. The cubic root of 4024838440 is about 1590.6799881485.

The spelling of 4024838440 in words is "four billion, twenty-four million, eight hundred thirty-eight thousand, four hundred forty".