541841965056 has 1200 divisors, whose sum is σ = 2027951202816. Its totient is φ = 140651790336.

The previous prime is 541841965037. The next prime is 541841965079. The reversal of 541841965056 is 650569148145.

It is a happy number.

541841965056 is a `hidden beast` number, since 5 + 4 + 1 + 8 + 41 + 96 + 505 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 541841964993 and 541841965011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7422492636 + ... + 7422492708.

Almost surely, 2^541841965056 is an apocalyptic number.

541841965056 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 541841965056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1013975601408).

541841965056 is an abundant number, since it is smaller than the sum of its proper divisors (1486109237760).

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

541841965056 is an equidigital number, since it uses as much as digits as its factorization.

541841965056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 5184000, while the sum is 54.

The spelling of 541841965056 in words is "five hundred forty-one billion, eight hundred forty-one million, nine hundred sixty-five thousand, fifty-six".