541113384960 has 1360 divisors, whose sum is σ = 2169592048800. Its totient is φ = 128421199872.

The previous prime is 541113384949. The next prime is 541113384961. The reversal of 541113384960 is 69483311145.

541113384960 is a `hidden beast` number, since 5 + 41 + 113 + 3 + 8 + 496 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (541113384961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 14624686062 + ... + 14624686098.

Almost surely, 2^541113384960 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 541113384960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1084796024400).

541113384960 is an abundant number, since it is smaller than the sum of its proper divisors (1628478663840).

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

541113384960 is an equidigital number, since it uses as much as digits as its factorization.

541113384960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 541113384960 in words is "five hundred forty-one billion, one hundred thirteen million, three hundred eighty-four thousand, nine hundred sixty".