541324800000 has 936 divisors, whose sum is σ = 2023047516672. Its totient is φ = 139345920000.

The previous prime is 541324799999. The next prime is 541324800007. The reversal of 541324800000 is 8423145.

541324800000 is a `hidden beast` number, since 5 + 413 + 248 + 0 + 0 + 0 + 0 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (541324800007) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4262399937 + ... + 4262400063.

It is an arithmetic number, because the mean of its divisors is an integer number (2161375552).

Almost surely, 2^541324800000 is an apocalyptic number.

541324800000 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 541324800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1011523758336).

541324800000 is an abundant number, since it is smaller than the sum of its proper divisors (1481722716672).

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

541324800000 is an equidigital number, since it uses as much as digits as its factorization.

541324800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 174 counting only the distinct ones).

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

The spelling of 541324800000 in words is "five hundred forty-one billion, three hundred twenty-four million, eight hundred thousand".