541081440 has 432 divisors, whose sum is σ = 2107988064. Its totient is φ = 125706240.

The previous prime is 541081433. The next prime is 541081441. The reversal of 541081440 is 44180145.

It is a happy number.

541081440 is a `hidden beast` number, since 541 + 0 + 81 + 4 + 40 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (541081441) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 17454225 + ... + 17454255.

It is an arithmetic number, because the mean of its divisors is an integer number (4879602).

Almost surely, 2^541081440 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 541081440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1053994032).

541081440 is an abundant number, since it is smaller than the sum of its proper divisors (1566906624).

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

541081440 is a wasteful number, since it uses less digits than its factorization.

541081440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 541081440 is about 23261.1573228849. The cubic root of 541081440 is about 814.8685298616.

The spelling of 541081440 in words is "five hundred forty-one million, eighty-one thousand, four hundred forty".