541966449600 has 252 divisors, whose sum is σ = 1927118193000. Its totient is φ = 144461260800.

The previous prime is 541966449503. The next prime is 541966449631. The reversal of 541966449600 is 6944669145.

541966449600 is a `hidden beast` number, since 5 + 4 + 1 + 96 + 64 + 496 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 39578755 + ... + 39592445.

Almost surely, 2^541966449600 is an apocalyptic number.

541966449600 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 541966449600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (963559096500).

541966449600 is an abundant number, since it is smaller than the sum of its proper divisors (1385151743400).

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

541966449600 is a wasteful number, since it uses less digits than its factorization.

541966449600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16468 (or 16450 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 541966449600 in words is "five hundred forty-one billion, nine hundred sixty-six million, four hundred forty-nine thousand, six hundred".