541974443472 has 1260 divisors, whose sum is σ = 2136106163268. Its totient is φ = 132204441600.

The previous prime is 541974443459. The next prime is 541974443501. The reversal of 541974443472 is 274344479145.

541974443472 is a `hidden beast` number, since 5 + 4 + 1 + 97 + 44 + 43 + 472 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 301242908736 + 240731534736 = 548856^2 + 490644^2 .

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

Its product of digits (13547520) is a multiple of the sum of its prime factors (540).

It is a congruent number.

It is an unprimeable number.

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 251 ways as a sum of consecutive naturals, for example, 1175649322 + ... + 1175649782.

Almost surely, 2^541974443472 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 541974443472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1068053081634).

541974443472 is an abundant number, since it is smaller than the sum of its proper divisors (1594131719796).

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

541974443472 is a wasteful number, since it uses less digits than its factorization.

541974443472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540 (or 501 counting only the distinct ones).

The product of its digits is 13547520, while the sum is 54.

The spelling of 541974443472 in words is "five hundred forty-one billion, nine hundred seventy-four million, four hundred forty-three thousand, four hundred seventy-two".