541458017712 has 240 divisors, whose sum is σ = 1680740863200. Its totient is φ = 166683686400.

The previous prime is 541458017707. The next prime is 541458017719. The reversal of 541458017712 is 217710854145.

541458017712 is a `hidden beast` number, since 5 + 41 + 4 + 580 + 17 + 7 + 12 = 666.

It is not an unprimeable number, because it can be changed into a prime (541458017719) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6586462 + ... + 6668162.

It is an arithmetic number, because the mean of its divisors is an integer number (7003086930).

Almost surely, 2^541458017712 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 541458017712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (840370431600).

541458017712 is an abundant number, since it is smaller than the sum of its proper divisors (1139282845488).

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

541458017712 is a wasteful number, since it uses less digits than its factorization.

541458017712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81793 (or 81758 counting only the distinct ones).

The product of its (nonzero) digits is 313600, while the sum is 45.

The spelling of 541458017712 in words is "five hundred forty-one billion, four hundred fifty-eight million, seventeen thousand, seven hundred twelve".