541941120 has 192 divisors, whose sum is σ = 2138891040. Its totient is φ = 123863040.

The previous prime is 541941089. The next prime is 541941121. The reversal of 541941120 is 21149145.

541941120 is a `hidden beast` number, since 541 + 9 + 4 + 112 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (541941121) 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 23 ways as a sum of consecutive naturals, for example, 33600 + ... + 47040.

Almost surely, 2^541941120 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 541941120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1069445520).

541941120 is an abundant number, since it is smaller than the sum of its proper divisors (1596949920).

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

541941120 is a wasteful number, since it uses less digits than its factorization.

541941120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13473 (or 13458 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 541941120 is about 23279.6288630210. The cubic root of 541941120 is about 815.2998608038.

The spelling of 541941120 in words is "five hundred forty-one million, nine hundred forty-one thousand, one hundred twenty".