541120032 has 36 divisors (see below), whose sum is σ = 1538810910. Its totient is φ = 180373248.

The previous prime is 541120003. The next prime is 541120037. The reversal of 541120032 is 230021145.

541120032 is a `hidden beast` number, since 541 + 120 + 0 + 3 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 414692496 + 126427536 = 20364^2 + 11244^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 541119987 and 541120014.

It is not an unprimeable number, because it can be changed into a prime (541120037) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 939157 + ... + 939732.

Almost surely, 2^541120032 is an apocalyptic number.

It is an amenable number.

541120032 is an abundant number, since it is smaller than the sum of its proper divisors (997690878).

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

541120032 is a wasteful number, since it uses less digits than its factorization.

541120032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1878905 (or 1878894 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 541120032 is about 23261.9868454954. The cubic root of 541120032 is about 814.8879025822.

Adding to 541120032 its reverse (230021145), we get a palindrome (771141177).

The spelling of 541120032 in words is "five hundred forty-one million, one hundred twenty thousand, thirty-two".