540041040 has 640 divisors, whose sum is σ = 2468413440. Its totient is φ = 105062400.

The previous prime is 540041027. The next prime is 540041059. The reversal of 540041040 is 40140045.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2827345 + ... + 2827535.

It is an arithmetic number, because the mean of its divisors is an integer number (3856896).

Almost surely, 2^540041040 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 540041040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1234206720).

540041040 is an abundant number, since it is smaller than the sum of its proper divisors (1928372400).

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

540041040 is a wasteful number, since it uses less digits than its factorization.

540041040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 540041040 is about 23238.7831006703. The cubic root of 540041040 is about 814.3459140298.

Adding to 540041040 its reverse (40140045), we get a palindrome (580181085).

The spelling of 540041040 in words is "five hundred forty million, forty-one thousand, forty".