541443200000 has 528 divisors, whose sum is σ = 1476624083760. Its totient is φ = 197591040000.

The previous prime is 541443199993. The next prime is 541443200003. The reversal of 541443200000 is 2344145.

It can be written as a sum of positive squares in 24 ways, for example, as 510230204416 + 31212995584 = 714304^2 + 176672^2 .

It is a super-3 number, since 3×541443200000³ (a number of 36 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (541443200003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2012799866 + ... + 2012800134.

Almost surely, 2^541443200000 is an apocalyptic number.

541443200000 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 541443200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (738312041880).

541443200000 is an abundant number, since it is smaller than the sum of its proper divisors (935180883760).

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

541443200000 is an equidigital number, since it uses as much as digits as its factorization.

541443200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

Adding to 541443200000 its reverse (2344145), we get a palindrome (541445544145).

The spelling of 541443200000 in words is "five hundred forty-one billion, four hundred forty-three million, two hundred thousand".