541540440 has 192 divisors, whose sum is σ = 2129924160. Its totient is φ = 116490240.

The previous prime is 541540421. The next prime is 541540453. The reversal of 541540440 is 44045145.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36520 + ... + 49160.

It is an arithmetic number, because the mean of its divisors is an integer number (11093355).

Almost surely, 2^541540440 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 541540440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1064962080).

541540440 is an abundant number, since it is smaller than the sum of its proper divisors (1588383720).

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

541540440 is a wasteful number, since it uses less digits than its factorization.

541540440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12682 (or 12675 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

The square root of 541540440 is about 23271.0214644738. The cubic root of 541540440 is about 815.0988827041.

Adding to 541540440 its reverse (44045145), we get a palindrome (585585585).

The spelling of 541540440 in words is "five hundred forty-one million, five hundred forty thousand, four hundred forty".