541481628672 has 704 divisors, whose sum is σ = 1787158732800. Its totient is φ = 161243136000.

The previous prime is 541481628593. The next prime is 541481628679. The reversal of 541481628672 is 276826184145.

541481628672 is a `hidden beast` number, since 5 + 4 + 1 + 4 + 8 + 1 + 628 + 6 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (541481628679) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 667671147 + ... + 667671957.

Almost surely, 2^541481628672 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 541481628672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (893579366400).

541481628672 is an abundant number, since it is smaller than the sum of its proper divisors (1245677104128).

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

541481628672 is a wasteful number, since it uses less digits than its factorization.

541481628672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 931 (or 907 counting only the distinct ones).

The product of its digits is 5160960, while the sum is 54.

The spelling of 541481628672 in words is "five hundred forty-one billion, four hundred eighty-one million, six hundred twenty-eight thousand, six hundred seventy-two".