541335040 has 80 divisors (see below), whose sum is σ = 1311175008. Its totient is φ = 214327296.

The previous prime is 541335037. The next prime is 541335043. The reversal of 541335040 is 40533145.

It is an interprime number because it is at equal distance from previous prime (541335037) and next prime (541335043).

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 541334996 and 541335014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (541335043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 262654 + ... + 264706.

Almost surely, 2^541335040 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 541335040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (655587504).

541335040 is an abundant number, since it is smaller than the sum of its proper divisors (769839968).

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

541335040 is a wasteful number, since it uses less digits than its factorization.

541335040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2179 (or 2163 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 25.

The square root of 541335040 is about 23266.6078318263. The cubic root of 541335040 is about 814.9958171590.

Adding to 541335040 its reverse (40533145), we get a palindrome (581868185).

The spelling of 541335040 in words is "five hundred forty-one million, three hundred thirty-five thousand, forty".