6135341040 has 120 divisors (see below), whose sum is σ = 20618769600. Its totient is φ = 1634959872.

The previous prime is 6135340997. The next prime is 6135341063. The reversal of 6135341040 is 401435316.

6135341040 is a `hidden beast` number, since 613 + 5 + 3 + 4 + 1 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a junction number, because it is equal to n+sod(n) for n = 6135340995 and 6135341013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1833609 + ... + 1836951.

It is an arithmetic number, because the mean of its divisors is an integer number (171823080).

Almost surely, 2^6135341040 is an apocalyptic number.

6135341040 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6135341040 is an abundant number, since it is smaller than the sum of its proper divisors (14483428560).

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

6135341040 is a wasteful number, since it uses less digits than its factorization.

6135341040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5911 (or 5902 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 6135341040 is about 78328.4178315891. The cubic root of 6135341040 is about 1830.6819638710.

Adding to 6135341040 its reverse (401435316), we get a palindrome (6536776356).

The spelling of 6135341040 in words is "six billion, one hundred thirty-five million, three hundred forty-one thousand, forty".