541631040 has 112 divisors (see below), whose sum is σ = 1724972928. Its totient is φ = 143990784.

The previous prime is 541631021. The next prime is 541631047. The reversal of 541631040 is 40136145.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 541631040.

It is not an unprimeable number, because it can be changed into a prime (541631047) 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 15 ways as a sum of consecutive naturals, for example, 415029 + ... + 416331.

It is an arithmetic number, because the mean of its divisors is an integer number (15401544).

Almost surely, 2^541631040 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 541631040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (862486464).

541631040 is an abundant number, since it is smaller than the sum of its proper divisors (1183341888).

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

541631040 is a wasteful number, since it uses less digits than its factorization.

541631040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1756 (or 1746 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 541631040 is about 23272.9680101185. The cubic root of 541631040 is about 815.1443356598.

Adding to 541631040 its reverse (40136145), we get a palindrome (581767185).

The spelling of 541631040 in words is "five hundred forty-one million, six hundred thirty-one thousand, forty".