541804440672 has 432 divisors, whose sum is σ = 1752815937600. Its totient is φ = 163485423360.

The previous prime is 541804440623. The next prime is 541804440677. The reversal of 541804440672 is 276044408145.

541804440672 is a `hidden beast` number, since 541 + 8 + 0 + 4 + 4 + 40 + 67 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-3 number, since 3×541804440672³ (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 (541804440677) 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 71 ways as a sum of consecutive naturals, for example, 875289579 + ... + 875290197.

It is an arithmetic number, because the mean of its divisors is an integer number (4057444300).

Almost surely, 2^541804440672 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 541804440672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (876407968800).

541804440672 is an abundant number, since it is smaller than the sum of its proper divisors (1211011496928).

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

541804440672 is an equidigital number, since it uses as much as digits as its factorization.

541804440672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1043 (or 1014 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 45.

The spelling of 541804440672 in words is "five hundred forty-one billion, eight hundred four million, four hundred forty thousand, six hundred seventy-two".