6040319040 has 560 divisors, whose sum is σ = 24837005952. Its totient is φ = 1370566656.

The previous prime is 6040319029. The next prime is 6040319057. The reversal of 6040319040 is 409130406.

6040319040 is a `hidden beast` number, since 604 + 0 + 3 + 19 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

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

It is a junction number, because it is equal to n+sod(n) for n = 6040318995 and 6040319013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 44089852 + ... + 44089988.

Almost surely, 2^6040319040 is an apocalyptic number.

6040319040 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 6040319040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12418502976).

6040319040 is an abundant number, since it is smaller than the sum of its proper divisors (18796686912).

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

6040319040 is an frugal number, since it uses more digits than its factorization.

6040319040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 6040319040 is about 77719.4894476283. The cubic root of 6040319040 is about 1821.1817627817.

Adding to 6040319040 its reverse (409130406), we get a palindrome (6449449446).

The spelling of 6040319040 in words is "six billion, forty million, three hundred nineteen thousand, forty".