6038983440 has 360 divisors, whose sum is σ = 24982340760. Its totient is φ = 1299013632.

The previous prime is 6038983429. The next prime is 6038983441. The reversal of 6038983440 is 443898306.

6038983440 is a `hidden beast` number, since 603 + 8 + 9 + 8 + 34 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 673713936 + 5365269504 = 25956^2 + 73248^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (6038983441) 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 71 ways as a sum of consecutive naturals, for example, 594726 + ... + 604794.

It is an arithmetic number, because the mean of its divisors is an integer number (69395391).

Almost surely, 2^6038983440 is an apocalyptic number.

6038983440 is a gapful number since it is divisible by the number (60) 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 6038983440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12491170380).

6038983440 is an abundant number, since it is smaller than the sum of its proper divisors (18943357320).

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

6038983440 is a wasteful number, since it uses less digits than its factorization.

6038983440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10119 (or 10103 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 6038983440 is about 77710.8965332404. The cubic root of 6038983440 is about 1821.0475232023.

The spelling of 6038983440 in words is "six billion, thirty-eight million, nine hundred eighty-three thousand, four hundred forty".