542241105664 has 72 divisors (see below), whose sum is σ = 1085813230320. Its totient is φ = 270257971200.

The previous prime is 542241105617. The next prime is 542241105689. The reversal of 542241105664 is 466501142245.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 141908874 + ... + 141912694.

It is an arithmetic number, because the mean of its divisors is an integer number (15080739310).

Almost surely, 2^542241105664 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 542241105664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542906615160).

542241105664 is an abundant number, since it is smaller than the sum of its proper divisors (543572124656).

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

542241105664 is a wasteful number, since it uses less digits than its factorization.

542241105664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5457 (or 5443 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 40.

The spelling of 542241105664 in words is "five hundred forty-two billion, two hundred forty-one million, one hundred five thousand, six hundred sixty-four".