6017041440 has 72 divisors (see below), whose sum is σ = 20533158828. Its totient is φ = 1604544000.

The previous prime is 6017041397. The next prime is 6017041447. The reversal of 6017041440 is 441407106.

6017041440 is a `hidden beast` number, since 601 + 7 + 0 + 4 + 14 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6014933136 + 2108304 = 77556^2 + 1452^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (6017041447) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2087811 + ... + 2090690.

Almost surely, 2^6017041440 is an apocalyptic number.

6017041440 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6017041440 is an abundant number, since it is smaller than the sum of its proper divisors (14516117388).

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

6017041440 is a wasteful number, since it uses less digits than its factorization.

6017041440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4178522 (or 4178511 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 6017041440 is about 77569.5909490311. The cubic root of 6017041440 is about 1818.8393195231.

Adding to 6017041440 its reverse (441407106), we get a palindrome (6458448546).

The spelling of 6017041440 in words is "six billion, seventeen million, forty-one thousand, four hundred forty".