541844040 has 128 divisors (see below), whose sum is σ = 1694131200. Its totient is φ = 138485760.

The previous prime is 541844027. The next prime is 541844047. The reversal of 541844040 is 40448145.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 541843989 and 541844007.

It is not an unprimeable number, because it can be changed into a prime (541844047) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 419716 + ... + 421004.

It is an arithmetic number, because the mean of its divisors is an integer number (13235400).

Almost surely, 2^541844040 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 541844040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (847065600).

541844040 is an abundant number, since it is smaller than the sum of its proper divisors (1152287160).

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

541844040 is a wasteful number, since it uses less digits than its factorization.

541844040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1447 (or 1443 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 30.

The square root of 541844040 is about 23277.5436848478. The cubic root of 541844040 is about 815.2511752953.

The spelling of 541844040 in words is "five hundred forty-one million, eight hundred forty-four thousand, forty".