542141480160 has 288 divisors, whose sum is σ = 2207291173920. Its totient is φ = 123918004224.

The previous prime is 542141480159. The next prime is 542141480201. The reversal of 542141480160 is 61084141245.

542141480160 is a `hidden beast` number, since 5 + 4 + 2 + 1 + 414 + 80 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1068889 + ... + 1492248.

It is an arithmetic number, because the mean of its divisors is an integer number (7664205465).

Almost surely, 2^542141480160 is an apocalyptic number.

It is an amenable number.

542141480160 is an abundant number, since it is smaller than the sum of its proper divisors (1665149693760).

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

542141480160 is a wasteful number, since it uses less digits than its factorization.

542141480160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2561175 (or 2561154 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 542141480160 in words is "five hundred forty-two billion, one hundred forty-one million, four hundred eighty thousand, one hundred sixty".