6541424100 has 108 divisors (see below), whose sum is σ = 20622739956. Its totient is φ = 1734255360.

The previous prime is 6541424093. The next prime is 6541424129. The reversal of 6541424100 is 14241456.

6541424100 is a `hidden beast` number, since 6 + 5 + 414 + 241 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 337971456 + 6203452644 = 18384^2 + 78762^2 .

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 35 ways as a sum of consecutive naturals, for example, 134694 + ... + 176706.

Almost surely, 2^6541424100 is an apocalyptic number.

6541424100 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 6541424100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10311369978).

6541424100 is an abundant number, since it is smaller than the sum of its proper divisors (14081315856).

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

6541424100 is a wasteful number, since it uses less digits than its factorization.

6541424100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42206 (or 42196 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 6541424100 is about 80879.0708403602. The cubic root of 6541424100 is about 1870.2116968911.

Adding to 6541424100 its reverse (14241456), we get a palindrome (6555665556).

The spelling of 6541424100 in words is "six billion, five hundred forty-one million, four hundred twenty-four thousand, one hundred".