541996128 has 144 divisors (see below), whose sum is σ = 1666894320. Its totient is φ = 166468608.

The previous prime is 541996093. The next prime is 541996129. The reversal of 541996128 is 821699145.

541996128 is a `hidden beast` number, since 541 + 9 + 96 + 12 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (541996129) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 201126 + ... + 203802.

It is an arithmetic number, because the mean of its divisors is an integer number (11575655).

Almost surely, 2^541996128 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 541996128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (833447160).

541996128 is an abundant number, since it is smaller than the sum of its proper divisors (1124898192).

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

541996128 is a wasteful number, since it uses less digits than its factorization.

541996128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2749 (or 2738 counting only the distinct ones).

The product of its digits is 155520, while the sum is 45.

The square root of 541996128 is about 23280.8102951766. The cubic root of 541996128 is about 815.3274446721.

The spelling of 541996128 in words is "five hundred forty-one million, nine hundred ninety-six thousand, one hundred twenty-eight".