541300442100 has 144 divisors (see below), whose sum is σ = 1708820420160. Its totient is φ = 131202892800.

The previous prime is 541300442099. The next prime is 541300442131. The reversal of 541300442100 is 1244003145.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 31120206 + ... + 31137594.

Almost surely, 2^541300442100 is an apocalyptic number.

541300442100 is a gapful number since it is divisible by the number (50) 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 541300442100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (854410210080).

541300442100 is an abundant number, since it is smaller than the sum of its proper divisors (1167519978060).

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

541300442100 is a wasteful number, since it uses less digits than its factorization.

541300442100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26850 (or 26843 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 541300442100 its reverse (1244003145), we get a palindrome (542544445245).

The spelling of 541300442100 in words is "five hundred forty-one billion, three hundred million, four hundred forty-two thousand, one hundred".