541120640 has 64 divisors (see below), whose sum is σ = 1296509760. Its totient is φ = 215964672.

The previous prime is 541120639. The next prime is 541120649. The reversal of 541120640 is 46021145.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (541120649) 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, 464699 + ... + 465861.

It is an arithmetic number, because the mean of its divisors is an integer number (20257965).

Almost surely, 2^541120640 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 541120640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (648254880).

541120640 is an abundant number, since it is smaller than the sum of its proper divisors (755389120).

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

541120640 is a wasteful number, since it uses less digits than its factorization.

541120640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1909 (or 1897 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 541120640 is about 23261.9999140229. Note that the first 4 decimals coincide. The cubic root of 541120640 is about 814.8882077835. Note that the first 3 decimals are identical.

Adding to 541120640 its reverse (46021145), we get a palindrome (587141785).

The spelling of 541120640 in words is "five hundred forty-one million, one hundred twenty thousand, six hundred forty".